100020002000021 has 32 divisors (see below), whose sum is σ = 108459912135168. Its totient is φ = 91882602040320.

The previous prime is 100020002000011. The next prime is 100020002000057. The reversal of 100020002000021 is 120000200020001.

It is a cyclic number.

It is not a de Polignac number, because 100020002000021 - 2⁴⁶ = 29651257822357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020001999972 and 100020002000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020002000011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2467720526 + ... + 2467761056.

It is an arithmetic number, because the mean of its divisors is an integer number (3389372254224).

Almost surely, 2^{100020002000021} is an apocalyptic number.

It is an amenable number.

100020002000021 is a deficient number, since it is larger than the sum of its proper divisors (8439910135147).

100020002000021 is a wasteful number, since it uses less digits than its factorization.

100020002000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54701.

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

Adding to 100020002000021 its reverse (120000200020001), we get a palindrome (220020202020022).

The spelling of 100020002000021 in words is "one hundred trillion, twenty billion, two million, twenty-one", and thus it is an aban number.