112102111210112 has 256 divisors, whose sum is σ = 234066792960000. Its totient is φ = 53412127211520.

The previous prime is 112102111210109. The next prime is 112102111210153. The reversal of 112102111210112 is 211012111201211.

It is a super-2 number, since 2×112102111210112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106865691764 + ... + 106865692812.

It is an arithmetic number, because the mean of its divisors is an integer number (914323410000).

Almost surely, 2^{112102111210112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102111210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117033396480000).

112102111210112 is an abundant number, since it is smaller than the sum of its proper divisors (121964681749888).

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

112102111210112 is a wasteful number, since it uses less digits than its factorization.

112102111210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 112102111210112 its reverse (211012111201211), we get a palindrome (323114222411323).

The spelling of 112102111210112 in words is "one hundred twelve trillion, one hundred two billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".