From their FAQ: > Q: How secure is Telegram? > Very secure. We are based on a new protocol, MTProto, built by our own specialists from scratch, with security in mind. At this moment, the biggest security threat to your Telegram messages is your mother reading over your shoulder. We took care of the rest. Oh good, a bunch of randoms have rolled their own crypto. I stopped reading at this point.
It's just an advertisement like any other. I'm sure the people responsible for the content of the FAQ know their target audience, so they know the wording will work for those whose attention they care about.
It is good that we, technical people, understand how completely worthless those words are. It begs for the "citation needed" label.
The question for me is this: do ordinary people (non-programmers in this case) really believe in most of the things ads tell them?