102122202011112 has 48 divisors (see below), whose sum is σ = 276753074214240. Its totient is φ = 34019551181088.

The previous prime is 102122202011051. The next prime is 102122202011143. The reversal of 102122202011112 is 211110202221201.

102122202011112 is a `hidden beast` number, since 10 + 212 + 220 + 201 + 11 + 12 = 666.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 441192298 + ... + 441423705.

It is an arithmetic number, because the mean of its divisors is an integer number (5765689046130).

Almost surely, 2^{102122202011112} is an apocalyptic number.

102122202011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122202011112 is an abundant number, since it is smaller than the sum of its proper divisors (174630872203128).

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

102122202011112 is a wasteful number, since it uses less digits than its factorization.

102122202011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882617622 (or 882617615 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122202011112 its reverse (211110202221201), we get a palindrome (313232404232313).

The spelling of 102122202011112 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred two million, eleven thousand, one hundred twelve".