You can access your user data on another device by linking Super Mario Run to your Nintendo Account. If you do this, you will keep all your coins, Toads, Rally Tickets, Kingdom Builder buildings, etc.
Your purchase status will not be carried over when you access your user data via your Nintendo Account. You can check your purchase status through your smart device's account.
Note: If you access your play data on a different device platform, you'll need to repurchase the game to play World Tour beyond World 2-1.
Note: If you access your play data on another device on the same platform, you'll need to restore the purchase via that device's account after installing the game. No additional purchases will be required.