The 28-year-old, who moved to Anfield from Roma three years ago, is the third quickest goals centurion after Roger Hunt and Jack Parkinson.
Senegal's Sadio Mane also scored for the defending champions, but Premier League leaders Everton clawed back twice to force a 2-2 draw.
https://twitter.com/LFCTransferNRS/status/1317727370602688512SADIO MANE (Liverpool)
He scored his fourth goal in three games as he returned from coronavirus quarantine, but Liverpool had to settle for a controversial draw against Merseyside rivals Everton. Mane had missed two matches following his positive virus test and he made up for lost time with a cool finish from Andrew Robertson's cross in the third minute at Goodison Park. However, Liverpool twice blew the lead and Jordan Henderson's last-gasp winner was ruled out for a harsh VAR offside call against Mane.
MOHAMED SALAH (Liverpool)
The Egypt forward reached his 100 goals milestone as the champions drew. Salah fired Liverpool into a 2-1 lead when he met Yerry Mina's poor clearance with a superb strike into the far corner.
WILFRIED ZAHA (Crystal Palace)
The Ivory Coast forward scored for the first time in three games, but it wasn't enough to secure victory as Brighton earned a 1-1 draw at Selhurst Park. Zaha struck with a 19th-minute penalty controversially awarded for Tariq Lamptey's slight push on Michy Batshuayi. Palace were condemned to a third successive game without a win when Alexis Mac Allister drilled home in the 90th minute.