Intel is the world's largest semiconductor company. Intel is famous for their processors for e.g. notebooks, desktops and servers.
It's just a marketing term. Intel inside refers to the fact that our running a Intel on the inside of your case.
Intel core
Intel Atom is a Netbook Microproccesor. It Is Meant For Light Apps.Intel i3,i5,i7 proccessors are meant for gaming
The core 2 duo by a rather large margin. The Atom was built for low power consumption and cost, thus it performs similar to a Pentium 4 or AMD Athlon XP.
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