102100222122021 has 96 divisors (see below), whose sum is σ = 161574918912000. Its totient is φ = 63703884423168.

The previous prime is 102100222122011. The next prime is 102100222122043. The reversal of 102100222122021 is 120221222001201.

It is a happy number.

102100222122021 is a `hidden beast` number, since 10 + 210 + 0 + 2 + 221 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 102100222122021 - 2²⁵ = 102100188567589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100222121985 and 102100222122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100222122011) 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 95 ways as a sum of consecutive naturals, for example, 1000156860 + ... + 1000258938.

It is an arithmetic number, because the mean of its divisors is an integer number (1683072072000).

Almost surely, 2^{102100222122021} is an apocalyptic number.

It is an amenable number.

102100222122021 is a deficient number, since it is larger than the sum of its proper divisors (59474696789979).

102100222122021 is a wasteful number, since it uses less digits than its factorization.

102100222122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103368 (or 103343 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102100222122021 its reverse (120221222001201), we get a palindrome (222321444123222).

The spelling of 102100222122021 in words is "one hundred two trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty-one".