[1] https://core.telegram.org/mtproto#authorization-and-encrypti...
I like Telegram, but not for security. Nobody should.
I use Telegram because it delights its users. When I have tried to bring friends and family to first Riot, then Signal, the experience I encountered was one of frustration, whether it was messages unexpectedly not syncing or delivering, the pain of cross-signing new devices for E2EE (RiotX), or the paucity of features. I have tried nearly every messenger that exists in an effort to seek out a usable compromise for laypeople and Telegram has been the only one to make that bar.
We use Matrix in my workplace because I can count on the employees being technical and patient enough to forgive having to input a multitude of varying passwords in succession just to get their session going.
Telegram messages are encrypted at rest on Telegram's servers with the keys held by Telegram the company. [1]
MTProto is fully open-source. [2]
Here's a FAQ of Telegram's most frequent criticisms. [3]
[1] https://telegram.org/faq#q-do-you-process-data-requests
[2] https://core.telegram.org/mtproto
[3] https://telegra.ph/How-really-secure-and-private-is-Telegram...