Dr. Who inspired in it's structure?
You have a main character that seems to be the smartest being in the universe and proves it, most of the time.
He allows himself to travel with companions, his family, from time to time.
He has relationships with seedy characters that do have an anti-hero or confused motivation style to them.
He understands time and has a grasp on dimensional travel, though Doctor Who has only touched on dimensional travel.
He doesn't always tell the truth and know more than he is letting on to.
He is a compete rogue and doesn't follow the rules.
The stories have multiple layers to them. You have the current episode, the story jumping across episodes and the story jumping across seasons.
Evil Morty seems to parallel The Master but remains more behind the scenes.