102212110000111 has 16 divisors (see below), whose sum is σ = 102972928838400. Its totient is φ = 101454969322048.

The previous prime is 102212110000019. The next prime is 102212110000123. The reversal of 102212110000111 is 111000011212201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102212110000111 - 2¹⁹ = 102212109475823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212110000091 and 102212110000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212110000711) 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, 70161036 + ... + 71603038.

It is an arithmetic number, because the mean of its divisors is an integer number (6435808052400).

Almost surely, 2^{102212110000111} is an apocalyptic number.

102212110000111 is a deficient number, since it is larger than the sum of its proper divisors (760818838289).

102212110000111 is a wasteful number, since it uses less digits than its factorization.

102212110000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443278.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102212110000111 its reverse (111000011212201), we get a palindrome (213212121212312).

The spelling of 102212110000111 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, one hundred eleven", and thus it is an aban number.