100021020120001 has 16 divisors (see below), whose sum is σ = 101194110883008. Its totient is φ = 98851533624000.

The previous prime is 100021020119987. The next prime is 100021020120019.

100021020120001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100021020120001 - 2³⁷ = 99883581166529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100021020120001.

It is not an unprimeable number, because it can be changed into a prime (100021020120071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269472330 + ... + 1269551116.

It is an arithmetic number, because the mean of its divisors is an integer number (6324631930188).

Almost surely, 2^{100021020120001} is an apocalyptic number.

It is an amenable number.

100021020120001 is a deficient number, since it is larger than the sum of its proper divisors (1173090763007).

100021020120001 is a wasteful number, since it uses less digits than its factorization.

100021020120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101472.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 100021020120001 in words is "one hundred trillion, twenty-one billion, twenty million, one hundred twenty thousand, one".