Is there a word that could mean both serious and humorous?

I'm creating a project on character traits, and the person that I'm writing about is funny yet serious. I didn't know if there was a word for that, so I'm asking for help.


You might call this person

Deadpan.

Deadpan means "without emotion," but the most often-used context is "deadpan humor" which is humor delivered in a serious manner.