Repurchase Agreement Counterparties with Whom Amount at Risk Exceeds 10 Percent of Stockholders' Equity (Details)	Dec. 31, 2023
Disclosure of Repurchase Agreements [Abstract]
Percent of equity of the amount at risk under repurchase agreements	10.00%

The percent of equity of the amount at risk under repurchase agreements is defined as the excess of carrying amount (or market value, if higher than the carrying amount or if there is no carrying amount) of the securities or other assets sold under agreement to repurchase, including accrued interest plus any cash or other assets on deposit to secure the repurchase obligation, over the amount of the repurchase liability (adjusted for accrued interest) divided by total stockholders equity.

No definition available.

Name:	two_RepurchaseAgreementCounterpartyPercentOfEquityAtRisk
Namespace Prefix:	two_
Data Type:	dtr-types1:percentItemType
Balance Type:	na
Period Type:	instant