What are Cookies? (Not the food!)

A cookie is a simple text file that is stored on your computer atau mobile device oleh a website’s server and only that server will be able to retrieve atau read the contents of that cookie. Each cookie is unique to your web browser. It will contain some anonymous information such as a unique identifier and the site name and some digits and numbers. It allows a website to remember things like your preferences atau what’s in your shopping basket.

I got that from a website, basically it's just something that will make a website remember anda on it, and yes, they're safe!. =)