Odom, with four 3-pointers, and McClellan, with a pair of treys, were perfect from beyond the arc as VU (8-4) warmed up for its Southeastern Conference opener next week.
McClellan only missed one shot on his way to 12 first-half points. The Commodores shot 76.0 percent from the field the first half and 83.3 from 3-point range (5 of 6) to lead 46-18 at intermission.
Kyle Fuller didn't miss at all to finish with 11 points, and Jones also had six blocks for Vanderbilt.
Reggie Spencer led the Huskies (3-11) with 15 points.
Odom's 3-pointer that extended the lead to 44-17 pushed the percentage to 78.3, one game after the Commodores had their poorest shooting performance in Monday's loss to Saint Louis.
Referees even waived off Jones' turn-around desperation shot that banked in at the buzzer, after he initially bobbled the pass.
The Commodores made 17 of their first 22 shots for a 77.3 field-goal percentage. At one point, VU hit nine straight field goals -- going 8 1/2 minutes without a miss.
McClellan scored eight straight points for Vanderbilt -- including two 3-pointers, the first after his steal -for an early 10-4 lead. He had 12 points in the first 8 minutes, plus his second steal led to Kyle Fuller's fast-break layup and an 18-8 advantage.
Fuller stretched it to 31-15 on an over-the-shoulder reverse after dropping the ball as the shot clock expired.
Jones scored eight straight points, including a dunk, as Vanderbilt stretched it to 39-15, and Odom's jumper made it 41-15 to cap a 20-2 run.
The Huskies, meanwhile, missed nine straight field goals between Reggie Spencer's jumper at 10:07 to pull within 21-13 and his layup 2:34 before halftime at 41-17.
Northeastern had defeated Georgetown earlier, and seven of its 10 previous losses had been by five points or less.
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.