How much points do you need for each Level

If Black Ops 2 is anything to go by, when activating prestige, everything will get reset with the exception of weapon levels and camo's.

It may also be worth noting that Specialists, Weapons, Lethal, Tactical, Perk 1, Perk 2, Perk 3, Wildcards, and Scorestreaks are all permenantly unlockable using the token.

This is also some information I found regarding Prestige:

It appears that if you buy the Season pass (available on steam), it comes with "The Giant" zombie map. From the link:

 About This Content
 The Call of Duty®: Black Ops III Season Pass delivers 4 epic DLC map packs
 in 2016 with all-new multiplayer content, including re-imagined 
 fan-favorite maps from Call of Duty®: World at War and the Call of Duty®: 
 Black Ops series, plus thrilling Treyarch Zombies content, all for one 
 great price.*

 Fans that order the Season Pass will be among the first to experience
 the return of Zombies with “The Giant” Map in all of its undead glory
 on Day One. Set in a World War II-era research facility featuring the
 weapon-upgrading Pack-a-Punch Machine, re-live the chaos of Treyarch's
 classic "Der Riese" Zombies map, picking up the Zombies story with
 Dempsey, Nikolai, Richtofen, and Takeo where Origins left off.

Purchasing the Deluxe edition also gives it to you (since it comes with the season pass).