Aegis Authenticator is a free app for Android that manages your two-step verification tokens. It supports HOTP and TOTP, is compatible with Google Authenticator, and can add tokens by scanning a QR code or image or by manual entry. Importing from many other authenticator apps is also possible. Tokens are kept in an encrypted vault (AES-256-GCM) that you unlock with a password or biometrics, and you can export them or set up automatic backups to a location of your choice. The app is available through Google Play and F-Droid.
Aegis is developed under the name Beem Development. The project has no identified legal entity; its two core developers list the Netherlands as their location on their public profiles. The source code is licensed under the GPL-3.0. According to the privacy policy, the app does not collect any information from your device; the vault stays on your own phone or on the backup location you choose. The developers do not run a hosted service.