Within an hour of its release, Scorpion shot up to No. 1 on the iTunes chart and on Apple Music.
The popularity is likely helped by widespread promotion of the project.
The move will likely help Drake regain his crown as Spotify's most-streamed artist after being unseated by Colombian reggaeton singer J Balvin, known for his hit "Mi Gente", earlier this week.
"Don't Matter To Me", the song with Jackson, belongs firmly to Drake's pop mode.
The previous biggest global debut on Apple Music was another Drake project - mixtape More Life, released in March a year ago - which was streamed 89.9m times worldwide in its opening 24 hours on the platform.
The Canadian Jewish hip-hop star, one of the top-selling artists in recent years, had kept fans in suspense for weeks as he prepared the release of his fifth full-fledged studio album, entitled "Scorpion".
On the track "Sandi's Rose", the rapper confirms that he has a child, reportedly shared with former adult film star Sophie Brussaux.
A few months after Jackson's death in 2009, however, Sony unveiled This Is It, a reworked version of the tune I Never Heard that he'd co-written with Anka. All throughout Scorpion, Drake talks about his son, and is open and honest about his struggles with accepting fatherhood (or being a "single father, I hate when I hear it", as he says on album closer "March 14") and his strained relationship with the child's mother, who he doesn't name. Those rumours picked up steam in May when a spat between Drake and fellow rapper Pusha-T escalated into the diss track "The Story of Adidon", where the American rapper called out Drake for failing to take responsibility as a dad.
Scorpion, the fifth studio album by the triple Grammy Award victor, also sees him resurrect the voice of the original King of Pop Micheal Jackson.
Drake's go-to beatsmith Noah "40" Shebib, who also executive produced the album, is listed as principal producer of "Peak", "Summer Games" and "Don't Matter to Me", contributing additional work to "Nice for What", "In My Feelings", "After Dark" and "Final Fantasy". "I was hiding the world from my kid". I used to challenge my parents on every album.