Sullinger grabbed five rebounds and Dallas Lauderdale and Deshaun Thomas both added 13 points for the Buckeyes (8-0).
Ohio State added to its streak of winning each of its games by double digits with its latest triumph.
The Catamounts (4-8) were led by Mike Williams with a game-high 22 points and Trey Sumler contributed 12 points off the bench in the loss.
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