Here is how the gameplay looks like:
You can play the game everywhere!
On mobile
On PC
On Web
Poki: https://poki.com/en/g/babel-tower (Rating 4.5/5 after 10k votes)
CrazyGames: https://www.crazygames.com/game/babel-tower (Rating 9.0/10 after 5k votes)
Kongregate: https://www.kongregate.com/games/generalvimes/babel-tower (Rating 3.36/5 after 1800 votes)
ArmorGames: https://armorgames.com/play/18964/babel-tower (Rating 75/100 after 700 votes)
The web version was released under the name "Babel Tower". But for the mobile release "Idle Tower Builder" seems better (you still will be building Babel Tower in fact ;) )
Currently the game has content for the first 12 floors: the completion every floor unlocks a new facility, which speeds up your progress.
Eventually you'll need to restart the tower building to collect Golden Bricks, prestige currency which speeds up your tap power, boosts production and increases market prices. After Golden Bricks collection you'll regain your progress really soon, and will continue construction of new floors.
Also the game has auto-clicker, so, no need to click the quarry or forest on the beginning phase of the game. Just place the auto-clicker there and it will do the job for you.
Have fun and keep an eye on the upcoming content updates!