Shareholder Report, Holdings (Details) | Jun. 30, 2024 |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | AA rating [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 87.40% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | A rating [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 4.60% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | BBB rating [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 7.10% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | UNITED STATES | |
Holdings [Line Items] | |
Percent of Net Asset Value | 52.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | UNITED KINGDOM | |
Holdings [Line Items] | |
Percent of Net Asset Value | 19.80% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | FRANCE | |
Holdings [Line Items] | |
Percent of Net Asset Value | 8.70% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | ITALY | |
Holdings [Line Items] | |
Percent of Net Asset Value | 5.90% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | GERMANY | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.70% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | Other [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.50% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | SPAIN | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.40% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | JAPAN | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | CANADA | |
Holdings [Line Items] | |
Percent of Net Asset Value | 1.70% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | AUSTRALIA | |
Holdings [Line Items] | |
Percent of Net Asset Value | 1.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | Long Foreign Exchange Risk [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 47.80% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | Short Foreign Exchange Risk [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 94.80% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | Long Interest Rate Risks [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 128.90% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund Class 3 | Short Interest Rate Risks [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 29.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | AA rating [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 87.40% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | A rating [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 4.60% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | BBB rating [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 7.10% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | UNITED STATES | |
Holdings [Line Items] | |
Percent of Net Asset Value | 52.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | UNITED KINGDOM | |
Holdings [Line Items] | |
Percent of Net Asset Value | 19.80% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | FRANCE | |
Holdings [Line Items] | |
Percent of Net Asset Value | 8.70% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | ITALY | |
Holdings [Line Items] | |
Percent of Net Asset Value | 5.90% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | GERMANY | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.70% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | Other [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.50% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | SPAIN | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.40% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | JAPAN | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | CANADA | |
Holdings [Line Items] | |
Percent of Net Asset Value | 1.70% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | AUSTRALIA | |
Holdings [Line Items] | |
Percent of Net Asset Value | 1.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | Long Foreign Exchange Risk [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 47.80% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | Short Foreign Exchange Risk [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 94.80% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | Long Interest Rate Risks [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 128.90% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 2) | Short Interest Rate Risks [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 29.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | AA rating [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 87.40% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | A rating [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 4.60% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | BBB rating [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 7.10% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | UNITED STATES | |
Holdings [Line Items] | |
Percent of Net Asset Value | 52.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | UNITED KINGDOM | |
Holdings [Line Items] | |
Percent of Net Asset Value | 19.80% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | FRANCE | |
Holdings [Line Items] | |
Percent of Net Asset Value | 8.70% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | ITALY | |
Holdings [Line Items] | |
Percent of Net Asset Value | 5.90% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | GERMANY | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.70% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | Other [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.50% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | SPAIN | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.40% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | JAPAN | |
Holdings [Line Items] | |
Percent of Net Asset Value | 2.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | CANADA | |
Holdings [Line Items] | |
Percent of Net Asset Value | 1.70% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | AUSTRALIA | |
Holdings [Line Items] | |
Percent of Net Asset Value | 1.20% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | Long Foreign Exchange Risk [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 47.80% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | Short Foreign Exchange Risk [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 94.80% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | Long Interest Rate Risks [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 128.90% |
CTIVP® – BlackRock Global Inflation-Protected Securities Fund (Class 1) | Short Interest Rate Risks [Member] | |
Holdings [Line Items] | |
Percent of Net Asset Value | 29.20% |