i've been currently involved in some upgrading and general messing around with my e21 AC unit. I think you will find that the whole system runs on 110 V power, not just the pump. The AC unit draws around 400 watts and the pump another 100. A 1000 watt inverter should be fine. HOWEVER, as part of my modifications I bought a new modified sine wave inverter. It runs the AC compressor and blower fine, but appears not to run the pump. I haven't quite figured out what is going on, but it appears that the pump may require a true sine wave inverter. I suggest just to be safe you buy a true sine wave unit.
Larry