The tablet will need to be opened and inspected for damage.
Given that the tablet is heating up without it being turned on I suggest that you open it up as soon as possible and disconnect the battery from the systemboard. Then you can relax and take your time inspecting and testing for any damage.
Here’s the ifixit LG G Pad 10.1 Battery Replacement guide that will help you to do this. Once the tablet is open go to Steps 4-6 to see how to disconnect the battery. You can leave the battery in situ, just disconnect it.
If doing this yourself seems too daunting take your tablet to a reputable, professional mobile phone or electronics repair service and ask for a quote. If you decide to do this, do it sooner than later to minimize any further damage to the tablet.