Definitely looks like that IC is very prone to latchup. The problem you have is you need to add extra protection, but in a way that does not add more than a few picoamps leakage to the inputs.
Here is my suggestion. Add 220 ohm resistors to each supply rail, just so if there is latchup again, the IC doesn't take the full short circuit current of your supply.
Add a 1N4148 type diode from the non-inverting input to the 10v reference output. Cathode to the 10v, so that the input cannot go above 10.6 v. The reason why this should not cause leakage currents is that normally there will be less than 5uV maximum across this diode.
Last, make sure that the HV supply is only on when the opamp circuit is fully powered. The safest way to do this if to have the 100v output shorted to 0 v while the circuit is turning on and off.
Richard.