It is actually an incremental game. Incremental games are games in which you gain currency by doing some simple task, and over time the amount of currency gained increases. :)
You're probably thinking of idle games, in which you typically need little to no input in order to advance. Even then, the auto jump upgrade makes this term applicable.
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i thought this wasn't a incremental game because most games that are at least called incremental games usually don't have anything you have to do except press buttons every now and then and you can leave it overnight like Prestige Tree but i guess some games just get the definitions idle, incremental and clicker games wrong, and this is a incremental game.