>>5873966390 to 100 for the important NPCs in regular Lumiose and 105 to 200 in Hyperspace Lumiose where the whole gimmick is baking donuts that temporarily give your Pokémon additional levels beyond 100. You don't get regular experience either but Experience Candies so the game expects you to use Pokémon close to or at level 100 to maximize your use of the extra levels.