I think the model number 2142 is the number on the motor. The machine model number is just under the bed on a metal plate. I LOVE my vintage Kenmore machines, IF they have low shank center homing feet. One can buy an adapter for high shank feet, but not the left homing ones.
I would steer clean of the Touch & Swear...oops...Sew.
SOME good all steel Singers are the 301, 403, 401, 404, 500, 503 and some 600s. Some 400's came later and have plastic gears that are about to fall apart. Those good Singer machines are slant shank so feet are a bit limited, unlike the Kenmore's I mentioned which have an endless number of feet available.