When comparing Debian noroot vs Complete Linux Installer, the Slant community recommends Complete Linux Installer for most people. In the question“What are the best ways to run Linux applications on Android?” Complete Linux Installer is ranked 3rd while Debian noroot is ranked 12th. The most important reason people chose Complete Linux Installer is:
Ubuntu, Debian, Fedora, ArchLinux, Kali Linux, openSUSE. You can even install more than one at a time.
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Pros
Pro Multiple distributions available for download
Ubuntu, Debian, Fedora, ArchLinux, Kali Linux, openSUSE. You can even install more than one at a time.
Pro Access to the Android filesystem
You can read and write files outside of the app's sandbox via a mount point in the chroot environment.
Pro Easy configuration
The images are preconfigured for Android, so everything mostly just works.
Cons
Con Android 6.0 not supported
If you have a newer device, this won't work.
Con Can't reinstall after uninstall on Android 4.4 or older
Deleting the app data is possible though. That will free most of the memory.
Con Requires at least 900 megabytes of internal storage
It cannot be installed on the SD card. That's a lot of storage considering it only works on pre-Marshmallow (Android 6) phones.
Con Drains battery
These are full desktop distributions. Running them takes a lot of power.
Con Requires root permissions
You can only install this on a rooted device.
Con Website is down
The project may have been abandoned.