Former President Barack Obama is to be the first guest on David Letterman’s new monthly Netflix talk show, the streaming network announced Friday. It will be one of Mr. Obama’s only interviews since he left office. (In the fall, he recorded an interview with Prince Harry for BBC Radio 4.)

The show — titled “My Next Guest Needs No Introduction With David Letterman” — is to begin Jan. 12. It will also mark a return to prominence for Mr. Letterman, who last hosted “Late Show With David Letterman,” which ended in 2015.

“I had a show for a long time. Then I didn’t have a show for a long time, and I can’t tell you how great it is to be out of the damn house. Wow,” Mr. Letterman announced in a trailer.