100012001000021 has 16 divisors (see below), whose sum is σ = 109236242269440. Its totient is φ = 90809809524480.

The previous prime is 100012001000011. The next prime is 100012001000059. The reversal of 100012001000021 is 120000100210001.

It is a cyclic number.

It is not a de Polignac number, because 100012001000021 - 2⁶ = 100012000999957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100012000999972 and 100012001000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012001000011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219223265 + ... + 219679001.

It is an arithmetic number, because the mean of its divisors is an integer number (6827265141840).

Almost surely, 2^{100012001000021} is an apocalyptic number.

100012001000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012001000021 is a deficient number, since it is larger than the sum of its proper divisors (9224241269419).

100012001000021 is a wasteful number, since it uses less digits than its factorization.

100012001000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479884.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100012001000021 its reverse (120000100210001), we get a palindrome (220012101210022).

The spelling of 100012001000021 in words is "one hundred trillion, twelve billion, one million, twenty-one", and thus it is an aban number.