What is the maximum level cap in Apex Legends?

It is currently 500, up from the original cap of 100:

What do I get when I increase my Player Level? What is the maximum Player Level?

Players can increase their Player Level by earning XP from playing matches. Each time a player levels up, they will earn rewards like an Apex Pack, Legend Tokens, or both.

Starting December 3, player Level caps at 500. After reaching Level 500, players can earn additional Legend Tokens by gaining enough XP during matches.

― Apex Legends FAQ


It has been increased to 500.

https://www.ea.com/games/apex-legends/news/progression-changes