That's what we use for automated notifications to on-call techs of P1
tickets. We wrote code to email a short message to the appropriate
domain. This list we use is Inteliquent's:
https://help.inteliquent.com/sending-emails-to-sms-or-mms
For example:
AT: num...@txt.att.net (SMS),
Alex,
Would a smtp to sms gateway solve the sms delivery issue?
https://support-en.wd.com/app/answers/detailweb/a_id/44431/~/gateway-addresses-for-mobile-phone-carrier-text-message
Here's a list of quite a few smtp-sms gateway servers by cell provider.
I've not used it much but for the one