10000202100021 has 48 divisors (see below), whose sum is σ = 17104479335424. Its totient is φ = 5510754611712.

The previous prime is 10000202099977. The next prime is 10000202100059. The reversal of 10000202100021 is 12000120200001.

It is not a de Polignac number, because 10000202100021 - 2⁷ = 10000202099893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10000202099976 and 10000202100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000202100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18719301 + ... + 19246106.

It is an arithmetic number, because the mean of its divisors is an integer number (356343319488).

Almost surely, 2^{10000202100021} is an apocalyptic number.

It is an amenable number.

10000202100021 is a deficient number, since it is larger than the sum of its proper divisors (7104277235403).

10000202100021 is a wasteful number, since it uses less digits than its factorization.

10000202100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37965570 (or 37965567 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000202100021 its reverse (12000120200001), we get a palindrome (22000322300022).

The spelling of 10000202100021 in words is "ten trillion, two hundred two million, one hundred thousand, twenty-one".