Several people smashed in the windows of their houses in the hopes of receiving compensation, the RIA Novosti news agency reported.
Others quickly took to the Internet and put what they said were meteorite fragments up for sale.
One of the most popular jokes was that the meteorite was supposed to fall on Dec. 21 last year -- when many believed the Mayan calendar predicted the end of the world -- but was delivered late by Russia's notoriously inefficient postal service.
The dramatic event prompted an array of reactions from prominent Russians.
Prime Minister Dmitry Medvedev, speaking at an economic forum in the Siberian city of Krasnoyarsk, said the meteor could be a symbol for the forum, showing that "not only the economy is vulnerable, but the whole planet."
Vladimir Zhirinovsky, a nationalist leader noted for his vehement statements, blamed the Americans.
"It's not meteors falling. It's the test of a new weapon by the Americans," the RIA Novosti news agency quoted him as saying.
Deputy Prime Minister Dmitry Rogozin said the incident showed the need for leading world powers to develop a system to intercept objects falling from space.
"At the moment, neither we nor the Americans have such technologies" to shoot down meteors or asteroids, he said, according to the Interfax news agency.
Jim Green, NASA's director of planetary science, called the back-to-back celestial events an amazing display.
"This is indeed very rare and it is historic," he said on NASA TV. "These fireballs happen about once a day or so, but we just don't see them because many of them fall over the ocean or in remote areas.