When your parents die the debt will not be passed on to you as long as your name is not on any of the debts that they owe.
If they have property or other possessions such as a house, car etc then the creditors might try to take back that stuff to pay back the debt but that doesn't always happen.
Most times the debt will just be written off after your parents death and nothing more will happen.
The debt collectors cannot come after the kids to pay their parents debt so no need to worry.