112102102122102 has 16 divisors (see below), whose sum is σ = 249115782493680. Its totient is φ = 37367367374016.

The previous prime is 112102102122097. The next prime is 112102102122137. The reversal of 112102102122102 is 201221201201211.

112102102122102 is a `hidden beast` number, since 1 + 1 + 210 + 210 + 21 + 221 + 0 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037982427003 + ... + 1037982427110.

It is an arithmetic number, because the mean of its divisors is an integer number (15569736405855).

Almost surely, 2^{112102102122102} is an apocalyptic number.

112102102122102 is an abundant number, since it is smaller than the sum of its proper divisors (137013680371578).

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

112102102122102 is a wasteful number, since it uses less digits than its factorization.

112102102122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075964854124 (or 2075964854118 counting only the distinct ones).

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

Adding to 112102102122102 its reverse (201221201201211), we get a palindrome (313323303323313).

The spelling of 112102102122102 in words is "one hundred twelve trillion, one hundred two billion, one hundred two million, one hundred twenty-two thousand, one hundred two".