800 Followers problem!

1002+992982972+962++42+322212 100^2 + 99^2 - 98^2 - 97^2 + 96^2 + \cdots + 4^2 + 3^2 - 2^2 - 1^2

Let NN denote the number above. Find the remainder when NN is divided by 10001000.

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