102112211102112 has 72 divisors (see below), whose sum is σ = 290389008087360. Its totient is φ = 34036535391360.

The previous prime is 102112211102101. The next prime is 102112211102113. The reversal of 102112211102112 is 211201112211201.

It is a happy number.

102112211102112 is a `hidden beast` number, since 10 + 211 + 221 + 1 + 10 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102112211102113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6836089 + ... + 15841607.

It is an arithmetic number, because the mean of its divisors is an integer number (4033180667880).

Almost surely, 2^{102112211102112} is an apocalyptic number.

102112211102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112211102112 is an abundant number, since it is smaller than the sum of its proper divisors (188276796985248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102112211102112 is a wasteful number, since it uses less digits than its factorization.

102112211102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9044906 (or 9044895 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102112211102112 its reverse (211201112211201), we get a palindrome (313313323313313).

The spelling of 102112211102112 in words is "one hundred two trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, one hundred twelve".