jkkid

Sleepers are omni tanked, exactly same to all damage types.
Sleepers do Therm/EM with their Beam (unknown ratios, presumed 50/50).
Sleepers do Kin/Exp with their missile (ie, one warhead = two damage types), and it's confirmed.
Sleepers have 40km webs. On everything.
Sleepers tend to insta-target drones and pop them. Especially frigates love to do this.
Sleepers can be jammed by ECM. All flavors of racial ECM work, and they work better than multispecs.
2 racials of any race will almost permajam any cruiser, I've only been able to try 3 on a BS, it works most of the time
Sleepers can be nossed for cap. This may reduce their rep chance.
Sleeper BS can neutralize cap from 65-75 km away
Sleepers will spawn massive reinforcement waves at the sight of a capital ship, they spawn 6 battleships for every capital that you bring in.
Sleeper missiles do 5,400 damage to capital ships, but have a large explosion radius (so you can sig tank them)