102112112111 has 16 divisors (see below), whose sum is σ = 105276842208. Its totient is φ = 99004272000.

The previous prime is 102112112033. The next prime is 102112112153. The reversal of 102112112111 is 111211211201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112112111 is a prime.

It is a super-3 number, since 3×102112112111³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112112191) 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, 1362041 + ... + 1435053.

It is an arithmetic number, because the mean of its divisors is an integer number (6579802638).

Almost surely, 2^102112112111 is an apocalyptic number.

102112112111 is a deficient number, since it is larger than the sum of its proper divisors (3164730097).

102112112111 is a wasteful number, since it uses less digits than its factorization.

102112112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73402.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102112112111 its reverse (111211211201), we get a palindrome (213323323312).

The spelling of 102112112111 in words is "one hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred eleven".