About the battery percentage... It maps the voltage of the battery to a table, but since it doesn't discharge linearly, it's not a 1 to 1 kind of thing, so it has to learn. 100% is some arbitrary value, and when you stop charging, your phone might actually be ABOVE that value. That's why some people's phones come off the charger at 100% and stay there for a while while you use it. You are just waiting for the voltage to drop to where the map shows 99%. I wouldn't worry too much about it though, while a 'full' charge on a LiPo is 4.1 or 4.2v (depends on where they want to set it), you don't have to worry about damage until over 4.3v... the charging circuitry will drop things down to a trickle charge long before that point. They will always say that it is safest to take your phone off its charger when it hits 100%.. which is true.... but a decent phone and charger should really never go spitzen-sparken if left on the charger for a bit.
And I don't remember where 0% lands... . when the phone hits 0%, the battery itself isn't fully depleted, it just means that the battery no longer can generate sufficient voltage to power the phone... at that point, the phone's power systems probably can't regulate the voltage properly... your battery's voltage might change, but the phone needs a steady input voltage. So I guess it'll register a 0% when it knows it can't get there anymore.
By the way.... when a charging battery fails it is usually because something screwed up and it the power regulation failed... causing either the battery to overcharge (and explode) or suffer a catastrophic short circuit (and explode). There are safties in place to reduce the changes of this, but bad things happen, especially with really cheap chargers (which can fry your phone's internal circuitry).
If your phone starts to feel hot... not 'hm... it feels warm' hot... but 'it might melt' hot... unplug the sucker (if charging) and put it someplace that won't burn crap if it pops.... DON'T put it under your pillow.

When Lithium batteries start to fail, they get hot. It's called 'thermal runaway', like a nuclear reactor melting down.
LiPo batteries have a mean temper, you don't want to make them angry, you won't like them when they are angry.