Do you have a 1099-R from the same company for a prior year? You can look back at your records. You can also call the company and ask for their TIN.
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Yes, it certainly appears this type error is possible (since it happened to you).
When you enter the 1099-R, make sure you put the numbers in the right fields, with you as the Recipient and the issuer as the Payer. Failure to do so may result in review or e-filing errors.