102212103100031 has 16 divisors (see below), whose sum is σ = 113223016529280. Its totient is φ = 91856415467520.

The previous prime is 102212103099991. The next prime is 102212103100069. The reversal of 102212103100031 is 130001301212201.

It is a cyclic number.

It is not a de Polignac number, because 102212103100031 - 2³⁴ = 102194923230847 is a prime.

It is a super-2 number, since 2×102212103100031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212103099982 and 102212103100009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212103100231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560028646 + ... + 1560094163.

It is an arithmetic number, because the mean of its divisors is an integer number (7076438533080).

Almost surely, 2^{102212103100031} is an apocalyptic number.

102212103100031 is a deficient number, since it is larger than the sum of its proper divisors (11010913429249).

102212103100031 is a wasteful number, since it uses less digits than its factorization.

102212103100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120122914.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102212103100031 its reverse (130001301212201), we get a palindrome (232213404312232).

The spelling of 102212103100031 in words is "one hundred two trillion, two hundred twelve billion, one hundred three million, one hundred thousand, thirty-one".