I just want to know if it is possible to upload from an android phone the whole sqlite database to google app engine and then download it from there to my computer.
Sure. The DB is just a file, you need to get the path to it, and then post it to App Engine. Depending on the size of the DB, you might need to use the Blobstore, there is a limit to the size you can store in a regular entity.
You mean uploading to GAE Blobstore? It might be a better idea to upload it to Google Storage rather than app engine if you really want to just dump the file
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