Being rich means not going to work because you don't have a choice or because if you can't go that you can't eat or take care of yourself. It is a state whereby you're able to meet all your major needs and can leave comfortably to the extent of extending an helping hands to others that might not be as privileged as yourself.
You must not have too much to be in competition with anybody before you can be tagged rich. As long as your income can solve all your needs, then you're rich. The state of being rich might not grant you happiness but it sure gives you the calmness that comes with solving all your financial needs by yourself without seeking any helpt from a third party.