10001100000021 has 48 divisors (see below), whose sum is σ = 14496522436800. Its totient is φ = 6130211383296.

The previous prime is 10001100000011. The next prime is 10001100000029. The reversal of 10001100000021 is 12000000110001.

It is not a de Polignac number, because 10001100000021 - 2²⁵ = 10001066445589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001099999955 and 10001100000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100000029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139202810 + ... + 1139211588.

It is an arithmetic number, because the mean of its divisors is an integer number (302010884100).

Almost surely, 2^{10001100000021} is an apocalyptic number.

It is an amenable number.

10001100000021 is a deficient number, since it is larger than the sum of its proper divisors (4495422436779).

10001100000021 is a wasteful number, since it uses less digits than its factorization.

10001100000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17430 (or 17417 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001100000021 its reverse (12000000110001), we get a palindrome (22001100110022).

The spelling of 10001100000021 in words is "ten trillion, one billion, one hundred million, twenty-one", and thus it is an aban number.