You can find old versions of WhatsApp here. Just navigate to the last (around the last) page to find versions compatible with Android 2.2.1.
BUT because those versions are too old, I am sure after you will be asked to update to a newer version. You should know that WhatsApp has stopped working on some versions of Android as stated here:
Come Saturday, February 1, 2020 (tomorrow), WhatsApp will no longer work on devices running Android 2.3.7 Gingerbread and older or iPhones running iOS 8 and older.
Specifically, as of February 1, 2020, WhatsApp will no longer support devices running Android 2.3.7 Gingerbread and older. After February 1, users will no longer be able to create new accounts or reverify existing accounts on these older Android versions.
As stated above, even if you install the old version, you will not be able to create an account or re-verify it.