This is the first e-mail of a President and the first email of a President to the outer space.
The computer also contains outstanding documentation, including a signed photo of the former president and a signed print-out of the historic email also with Glenn's signature.
Clinton was the first president to send an e-mail while in office. He wasn't exactly hooked on email though he sent a grand total of two during his eight-year term.
The Toshiba Satellite Pro computer is now in the hands of a private collector who is selling the laptop for USD 125,000 on eBay.
Apparently, the laptop was owned by then White House physician Robert Darling. It eventually made its way into the seller's hands.
The auction ends on November 11 on the on-line shopping website eBay.
The historic emails from Clinton are to former astronaut and senator John Glenn, who emailed the president from space on November 6, 1998 after the late October launch of space shuttle Discovery.
"This is certainly a first for me, writing to a President from space the whole crew was impressed that you would be the first President to personally see a shuttle launch," wrote Glenn, who was then 77-years-old and the oldest person to travel in space.
"Hillary and I had a great time at the launch," responded Clinton on November 7, 1998.
"We are very proud of you and the entire crew, and a little jealous," ebay quoted Clinton as replying.
The laptop still has the entire exchange on the hard drive more than a decade before the rise of Gmail and cloud-based e-mail.