10002010220200 has 48 divisors (see below), whose sum is σ = 23256835780860. Its totient is φ = 4000432128000.

The previous prime is 10002010220161. The next prime is 10002010220221. The reversal of 10002010220200 is 202201020001.

It can be written as a sum of positive squares in 6 ways, for example, as 948157902756 + 9053852317444 = 973734^2 + 3008962^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163161 + ... + 4475560.

Almost surely, 2^{10002010220200} is an apocalyptic number.

10002010220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002010220200 is an abundant number, since it is smaller than the sum of its proper divisors (13254825560660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002010220200 is a wasteful number, since it uses less digits than its factorization.

10002010220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649518 (or 4649509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10002010220200 its reverse (202201020001), we get a palindrome (10204211240201).

The spelling of 10002010220200 in words is "ten trillion, two billion, ten million, two hundred twenty thousand, two hundred".