Your rank is displayed in your profile on the upper right, but what does this number mean?
Right now your rank is based solely on your chip count. The higher your chip count, the better your rank will be. Since rank is based only on chip count, it is influenced by chip purchases.
For ranking, a lower number is better. The highest rank is #1, being the player with the most chips on the site. Each player after that has less chips than the player before.