Jamie Reynolds, 23, of Wellington, Shropshire, was sentenced at Stafford Crown Court after previously admitting murdering former head girl Georgia Williams.
Mr Justice Wilkie, sentencing, agreed with a psychiatric report that Reynolds, who had meticulously planned and executed his crime on May 26, while his parents were away, "had the potential to progressing to become a serial killer".
Reynolds dumped 17-year-old Georgia's body in woodland before fleeing north to Scotland. He was arrested at the Premier Inn Hotel in West Nile Street, Glasgow and his van was seized from a car park nearby.
Mr Justice Wilkie said Reynolds had a "long-standing preoccupation with violent and sadistic pornography" and his victim "must have suffered terribly".
The judge said he was satisfied that Reynolds had "been obsessed" with carrying out his fantasy for at least five years.
He said: "I am in no doubt the seriousness of your offending, so a whole-of-life term is the starting point.
"My conclusion is that I am of the opinion that because of the seriousness of this offence no minimum term should apply."