102100222100021 has 4 divisors (see below), whose sum is σ = 102102823352544. Its totient is φ = 102097620847500.

The previous prime is 102100222099987. The next prime is 102100222100089. The reversal of 102100222100021 is 120001222001201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102100222100021 - 2³⁴ = 102083042230837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100222099969 and 102100222100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100222120021) 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 3 ways as a sum of consecutive naturals, for example, 1300567385 + ... + 1300645886.

It is an arithmetic number, because the mean of its divisors is an integer number (25525705838136).

Almost surely, 2^{102100222100021} is an apocalyptic number.

It is an amenable number.

102100222100021 is a deficient number, since it is larger than the sum of its proper divisors (2601252523).

102100222100021 is an equidigital number, since it uses as much as digits as its factorization.

102100222100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601252522.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102100222100021 its reverse (120001222001201), we get a palindrome (222101444101222).

The spelling of 102100222100021 in words is "one hundred two trillion, one hundred billion, two hundred twenty-two million, one hundred thousand, twenty-one".