Termux is a freeware tool that does the job of emulating the Linux terminal and you can use it without having to root your Android device. Right off the bat, you will be able to access remote servers using the SSH protocol. This means that you can use this simple tool to manage your VPS, dedicated server and more, straight from the comfort and mobility of your smartphone.
You are able to pick from the bash and zsh shells, and you can also edit files using vim and nano. The nice thing about this application is that you can install more packages and you can achieve this thanks to apt package manager. Another feature that some users might find helpful is the ability to connect a Bluetooth keyboard. Besides that, you can also link your device to an external display.
Termux comes with support for mouse and keyboard shortcuts.