As in his first round against young Swede Mikael Ymer, the 33-year-old met minimal resistance and with 153rd-ranked Colombian Daniel Galan up next, his only concern will be that he might arrive in the second week without a meaningful test.
Berankis, ranked 66th, managed only five games in his previous grand slam match against Djokovic at the 2013 US Open and it proved a carbon copy this time.
Djokovic, bidding for his second French Open crown and 18th grand slam title, has dropped 10 games in two rounds and occasionally looked bored on Thursday, taking every opportunity to practise his trademark drop shot.
“Right from the blocks I want to bring in the intensity,” Djokovic, unbeaten this year apart from his default at the US Open, told Eurosport. “I managed to do that in the past two matches. It’s exactly how I want to roll into the match.”
Djokovic’s victory was his 70th at the French Open, moving him into joint second place on the all-time list with Roger Federer and a whopping 25 behind 12-time winner Rafa Nadal.
Meantime, fifth seed Stefanos Tsitsipas produced a clinical performance to outclass Uruguayan Pablo Cuevas 6-1, 6-4, 6-2 to advance to the third round.
The 22-year-old Greek needed more than three hours to rally from two sets down and beat little-known Spaniard Jaume Munar in round one and he could not have hoped for an easier second match.
Tsitsipas broke the 34-year-old Cuevas’ serve six times while facing a single break point during his own service games and closed out victory in 88 minutes.
He converted his matchpoint when Cuevas sent a service return long and will next meet Aljaz Bedene, who defeated Nikola Milojevic 7-5, 2-6, 6-1, 7-6(4).
Former champion Jelena Ostapenko made a big statement by dismissing Czech second seed Karolina Pliskova 6-4, 6-2 in the second round in Paris.
Latvia’s Ostapenko missed two match points after a double-fault but composed herself on the third opportunity to wrap up the contest in 69 minutes.
Women’s fourth seed and 2020 Australian Open champion Sofia Kenin rallied to a 3-6, 6-3, 6-2 win over Romanian Ana Bogdan.
And 2016 winner Garbine Murguruza, seeded 11th, advanced 6-3, 6-2 against Pliskova’s twin sister Kristina to play American Danielle Collins next.
Karolina Pliskova’s upset was not the only shock of the day as men’s ninth seed Denis Shapovalov lost after a five-hour thriller against Spaniard Roberto Carballes Baena, who prevailed 7-5, 6-7 (5-7), 6-3, 3-6, 8-6.
“I’m really happy that I was able to bring myself to a winning position, and then in the end it’s just a little bit unlucky,” Shapovalov said.