Sure! Here's a simple game that meets your requirements:
This game is a simple training levels game where you start at level 0. By clicking on the "Train" button, your level increases by 1, and it is displayed on the screen. The game is over when you reach level 100, and the button is disabled.
You can copy and paste this code into a single HTML file and open it in any browser to play the game. The game interface is optimized for smartphone operation and uses text to display the level.