102100120010021 has 32 divisors (see below), whose sum is σ = 120829929120000. Its totient is φ = 84412366682112.

The previous prime is 102100120009991. The next prime is 102100120010023. The reversal of 102100120010021 is 120010021001201.

It is not a de Polignac number, because 102100120010021 - 2²⁶ = 102100052901157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102100120009984 and 102100120010011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100120010023) 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 31 ways as a sum of consecutive naturals, for example, 3912018830 + ... + 3912044928.

It is an arithmetic number, because the mean of its divisors is an integer number (3775935285000).

Almost surely, 2^{102100120010021} is an apocalyptic number.

It is an amenable number.

102100120010021 is a deficient number, since it is larger than the sum of its proper divisors (18729809109979).

102100120010021 is a wasteful number, since it uses less digits than its factorization.

102100120010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44621.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102100120010021 its reverse (120010021001201), we get a palindrome (222110141011222).

The spelling of 102100120010021 in words is "one hundred two trillion, one hundred billion, one hundred twenty million, ten thousand, twenty-one".