First of all, if you are not claiming any dependents, you can't file as head of Household.
Since the IRS sent the payments based on your 2020 tax return, the IRS will consider those payments as received by you both. The IRS records show you received half and if you claim zero (0), your return will be delayed.
If you claim the amount the IRS has on record, you may be eligible for "Repayment Protection" in which case you won't be penalized for the payments.
According to the IRS:
"You won’t qualify for any repayment protection if your modified adjusted gross income (AGI) is at or above the following amount based on the filing status on your 2021 tax return:
- $120,000 if you are married and filing a joint return or if filing as a qualifying widow or widower;
- $100,000 if you are filing as head of household; and
- $80,000 if you are a single filer or are married and filing a separate return"
If you would be penalized for the payments that you say you never received, you would have a difficult time with tracking payments and proving the funds were received by your ex, without your knowledge, and that you reported your life changes using the IRS website. It could be done, but most likely would involve the courts.
Hopefully, claiming the payments will not create a tax liability for you.
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