Spurs had already secured first place in the group before Wednesday's game and Pochettino opted to give some of his fringe players a start.Llorente, a summer signing from Swansea, was one of those to come in and he opened his Tottenham account midway through the first half, turning smartly inside the box before hooking the ball into the net.
It was a deserved goal for Spurs after a dominant start to the match, with Georges-Kevin N'Koudou having had an early effort cleared off the line.Son Heung-min added a second before the break, curling in from the edge of the box after playing a one-two with Llorente.
Cypriots Apoel, who needed to avoid defeat to have a chance of claiming a Europa League spot ahead of Borussia Dortmund, offered very little throughout.Praxitelis Vouros had the visitors' best chance early in the second half when his deflected strike flew just wide of the far post.
Instead, Spurs added a third late on through N'Koudou's deflected finish.
Tottenham, who finished with the highest points tally in this season's Champions League group stage with 16, can now look forward to Monday's last 16 draw, which takes place at Uefa's headquarters in Nyon, Switzerland at 11:00 GMT.
Llorente, 32, joined Tottenham on transfer deadline day after an impressive debut campaign in the Premier League last season, scoring 15 goals to help Swansea avoid relegation.The Spanish striker, a World Cup winner in 2010, was the first player Pochettino had signed over the age of 30 since the Argentine became Spurs boss three years ago.
Llorente has largely failed to justify Pochettino's decision to go for experience over youth - a terrible close-range miss against Leicester last week a particularly low point - but his goal and overall performance on Wednesday could prove a turning point
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He looked anything but like a player who had gone almost seven hours without goal when he opened the scoring, trapping Serge Aurier's low ball superbly before turning and finishing
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Pochettino
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