Kenmore washer won't drain
Model110.2206

Could be something went over the inner tub to the outer tub (small sock tetc.) We call them floaters. The unit will pump out until the sock or other items plugs the hole then it stops pumping for awhile. Years ago I made a retriever out of a coat hanger with a hook on the end. You go fishing for the item between the inner basket tub and the outer tub. If that fails then you have to pull the inner basket tub. That part is no fun

Is the machine leaking water? If the pump has gone bad there might be a leak near the bottom front of the machine. If you can't find anything plugging up the drain hole then it's possible the pump is bad. Another way to get to the drain hole is take off the cabinet. The drain hole for the tub is right in front, with a large black hose going to the pump. It would be a lot easier than removing the inner basket!