Does remove target artifact or destroy all artifacts effect this card?
To cast Kozilek, the Great Distortion I need to spend 2 colorless and 8 generic and/or colorless?
Using card tags is mandatory in the Magic Rulings forum. Please check your private messages to learn how to use them. I've added them for this post.
-MadMage
Such questions are better asked in the rules forum.
Anyways, no. Kozilek, the Great Distortion is not an artifact. A permanent is only an artifact, if it has the artifact card type on its type line, or is made an artifact by some effect. Kozilek has the supertype "legendary" making it subject to the legend rule, the card type "creature", and the creature (sub)type "Eldrazi". But Kozilek being colorless doesn't make it an artifact.
Does remove target artifact or destroy all artifacts effect this card?
No. Outside of some effect like Mycosynth Lattice or Liquimetal Coating, Kozilek is not an artifact, and so would not be destroyed by something that destroys all artifacts. While he is colorless, he does not have "artifact" on his type line.
To cast Kozilek, the Great Distortion I need to spend 2 colorless and 8 generic and/or colorless?
You need 8 mana of any type and 2 colorless mana, yes. Also, since he is your commander, if you cast him from the command zone, it costs 2 additional mana of any type for each time you have previously cast him from the command zone. So the first time, it costs a total of 10 mana. Then he dies/gets exiled/whatever and you send him back to the CZ, then cast him a second time, and it will cost 12. Then 14, then 16, and so on. If he gets returned to your hand, it would only cost 10 mana to re-cast him from your hand.
Does remove target artifact or destroy all artifacts effect this card?
To cast Kozilek, the Great Distortion I need to spend 2 colorless and 8 generic and/or colorless?
Using card tags is mandatory in the Magic Rulings forum. Please check your private messages to learn how to use them. I've added them for this post.
-MadMage
Anyways, no. Kozilek, the Great Distortion is not an artifact. A permanent is only an artifact, if it has the artifact card type on its type line, or is made an artifact by some effect. Kozilek has the supertype "legendary" making it subject to the legend rule, the card type "creature", and the creature (sub)type "Eldrazi". But Kozilek being colorless doesn't make it an artifact.
Former Rules Advisor
"Everything's better with pirates." - Lodge
(The Gamers: Dorkness Rising)
"Any sufficiently analyzed magic is indistinguishable from science."
(Girl Genius - Fairy Tale Theater Break - Cinderella, end of volume 8)
No. Outside of some effect like Mycosynth Lattice or Liquimetal Coating, Kozilek is not an artifact, and so would not be destroyed by something that destroys all artifacts. While he is colorless, he does not have "artifact" on his type line.
You need 8 mana of any type and 2 colorless mana, yes. Also, since he is your commander, if you cast him from the command zone, it costs 2 additional mana of any type for each time you have previously cast him from the command zone. So the first time, it costs a total of 10 mana. Then he dies/gets exiled/whatever and you send him back to the CZ, then cast him a second time, and it will cost 12. Then 14, then 16, and so on. If he gets returned to your hand, it would only cost 10 mana to re-cast him from your hand.
Two Score, Minus Two or: A Stargate Tail
(Image by totallynotabrony)