10002111202100 has 36 divisors (see below), whose sum is σ = 22060394130348. Its totient is φ = 3935256864000.

The previous prime is 10002111201997. The next prime is 10002111202121. The reversal of 10002111202100 is 120211120001.

It can be written as a sum of positive squares in 6 ways, for example, as 3410588981284 + 6591522220816 = 1846778^2 + 2567396^2 .

It is a congruent number.

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, 819839081 + ... + 819851280.

It is an arithmetic number, because the mean of its divisors is an integer number (612788725843).

Almost surely, 2^{10002111202100} is an apocalyptic number.

10002111202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002111202100 is an abundant number, since it is smaller than the sum of its proper divisors (12058282928248).

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

10002111202100 is a wasteful number, since it uses less digits than its factorization.

10002111202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639690436 (or 1639690429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002111202100 its reverse (120211120001), we get a palindrome (10122322322101).

The spelling of 10002111202100 in words is "ten trillion, two billion, one hundred eleven million, two hundred two thousand, one hundred".