"Is Time magazine still in business, I didn't even know that," Trump said to reporters who asked if he had any response to the publication's new image out Friday. At the time, Trump was holding a press conference with Japanese Prime Minister Shigeru Ishiba.

See the cover of Time magazine with Elon Musk sitting behind President Trump's Resolute Desk and Trump's reaction to it.

Musk is offering an unprecedented—and uncertain—financial incentive for federal workers to resign, as part of Trump's plan to restructure the “deep state.”