This reflects none of the marking schemes of KEMET, Panasonic, Würth, Nichicon, so this is a "no name" cap: Probably not very exciting in specs.
UPDATE: Spehro's answer correctly points out this is very close to Panasonics' markings, so I'd trust the interpretation in there more than mine!
2V: almost certainly the voltage rating. This is very low, but since this is from modern highly integrated electronics, that might make sense. Higher values are always better, so that's to our advantage.
100: probably the capacity, 100µF
E: seems to be printed differently than "ZA", maybe the binning
ZA: probably the product range.
Since you can't tell dynamic parameters and ESR from any of this, you'd be well-advised to simply buy a "generally pretty good" capacitor that is probably better than the capacitor that became loose. Seeing that this thing is probably just used for decoupling, being a bit lower in ESR will hurt less than being too high.
So, check any inventory of a large distributor, like digikey; click through to the aluminium electrolytic caps, select surface mount ones, select the size that is equal to your capacitor at hand, and look for 100 µF with the lowest ESR you can get in that size.