A321 pilot reported the yellow hydraulic system lost pressure and quantity during cruise. The flight crew diverted and made a precautionary landing.

Narrative

About 1:15 into the flight and just past the ZZZZZ intersection on LXXX; we got a Hydraulic ECAM: Y ENG 2 PUMP LO PR. We followed Company non-normal procedures and ran the ECAM actions; QRH; etc. I used SATCOM to call Dispatch and Maintenance Control and while I was talking to them; I observed the Y hydraulic reservoir quantity begin to reduce. At that point; we decided to divert to ZZZ which had the longest runway and Customs.I contacted ZZZ Radio on HF and [requested priority handling] and asked for immediate vectors to ZZZ. As we headed to ZZZ the reservoir steadily reduced to zero and the associated ECAMs appeared: Y RSVR LO LVL and Y SYS LO PR. I kept the flight attendants and passengers updated throughout the event. I advised the flight attendants that we were in an immediate situation.As a result of the loss of yellow system hydraulics; we had no nose wheel steering among other inop systems. We ensured that ATC knew that we would be stopping on the runway and would need a tow.The Crash Fire Rescue (CFR)/firetrucks were on standby at the runway and approached us after we came to full stop and shut down the engines to inspect the aircraft. They noted signs of hydraulic fluid on the airplane.We were towed to the gate with no further issues and waited for customs and border patrol to clear us to deplane. I made a maintenance logbook entry for the HYD Y ENG 2 PUMP LO PR ECAM followed by a complete draining of the Y reservoir contents.