Time magazine, unsurprisingly, has named President-elect Donald J. Trump its person of the year for 2016, calling him the “president of the divided states of America.”

Mr. Trump was not happy about that title, but called his selection a “tremendous honor.”

As NBC was building suspense for the magazine’s carefully staged announcement on the “Today” show, Mr. Trump posted on Twitter at 7:18 a.m. that he would appear shortly on the program.

The annual marketing gimmick has, since the 1920s, attempted to select a single figure or a group that has influenced the year’s events.

Mr. Trump beat out 10 other finalists announced on Monday, including Hillary Clinton; Simone Biles, the Olympic gymnast; Beyoncé; Mark Zuckerberg; and the Flint, Mich., whistle-blowers, the residents and civil engineers who sounded the alarm on lead-poisoned water in the city.