Direct Burial MC Cable
Can you use Direct burial MC cable? YES. Looking at that long of a run you are pushing the voltage drop limit of 3%. Here is a link to a calculator, 3% is the standard limit. 240V At 80 amps the voltage drop was 2.74% on #2 copper. With 100 amps it jumped the wire to #1 and it was 2.48%. So the real answer will be load dependent. If your expected load is going to be ~80 amps it will work with that size wire and a 80 amp breaker. If you really need 100A the wire size will need to be adjusted.