An 82-year-old woman was raped at knifepoint in her Coney Island bedroom, a disturbing incident that’s part of a dramatic spike in rapes citywide.

The woman was cleaning in front of her home on Coney Island Avenue south of the Belt Parkway at 1:40 a.m. Monday when the brute walked in, cops said.

When the victim went into her bedroom, he jumped out with a knife and demanded cash – then stayed until 4 a.m., when he raped her and fled with a bag of clothing and an umbrella, officials said.

The woman was taken to Kings County Hospital in stable condition.

The suspect is believed to be between 20 and 30 years old, 5 feet 8 inches tall, weighs 160 pounds, with an Afro and a light beard.

He was last seen wearing a white T-shirt with unknown writing on the front, gray sweatpants and Converse sneakers with white laces.

“This is an incredibly heinous crime, something that no society and no city can tolerate,” said Police Commissioner William Bratton Tuesday.

He urged the community to step forward with any information leading to an arrest.

“What that woman suffered and endured, nobody should have to suffer or endure anytime or anywhere in this city. It’s a very violent, vicious depraved individual that we are seeking and we need to get him off the streets very, very quickly,” he added.

Rape incidents were up a staggering 105.9 percent for the week through Sunday, according to police data.

There were 35 rape incidents verses 17 during that time period, the statistics show.

Rapes were up 22-percent in a 28-day period and just 4 percent for the year to date.

Anyone with information is urged to call Crime Stoppers at 1-800-577-TIPS (8477).