To have a lot of money in the bank. To be able to buy a lot of expensive things. To be wealthy.

(noun) Someone with a lot more money than you. As such, the definition is elastic depending on one's economic status. Usually a term applied to others rather than to oneself.

Someone who has a lot of money

Having an abundance in materials or qualites in character and personality.

Being taken care of.. Being well off... Never having to worry about buying anything. As in you can buy whatever you want.

Being more well-off than your peers. As in having a lot more money than they do. Being well-ahead of them financially.

For instance Bill Gates is a lot wealthier than all the people his age, he's rich.

In addition to its more common usage, rich can be used to describe objects of luxury or cool things such as shoes, shirts, cars, houses, jewelry, etc.