It's a stronger synonym of "idea." Having a concept is like having an idea, but probably indicates more completeness. For example, a company is more likely to fund a "good concept" than a "good idea." You would not replace "idea" with "concept" in the phrase "I just had an idea." Also, you can turn concept into the verb "conceptualize," which means to envision or picture something in your head. There is no similar verb for "idea."

It can mean "an understanding of something". A wife might say to her husband "You have no concept of what I do all day to keep this family running!" to show that the husband does not have the faintest clue about all the things she does. It can mean "a broad idea that affects your perception". Long ago, before there was the concept of a zero, you could not do mathematics. In Star Trek, they have space travel that depends on the concept of wormholes that are shortcuts from one side of the universe to the other side.

A thought or idea.

it is related to creativity

Tautunu has got it in a nutshell!