112101013013112 has 128 divisors (see below), whose sum is σ = 313643951040000. Its totient is φ = 37096755176448.

The previous prime is 112101013013111. The next prime is 112101013013203. The reversal of 112101013013112 is 211310310101211.

112101013013112 is a `hidden beast` number, since 1 + 1 + 210 + 10 + 130 + 1 + 311 + 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 not an unprimeable number, because it can be changed into a prime (112101013013111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1030579464 + ... + 1030688232.

It is an arithmetic number, because the mean of its divisors is an integer number (2450343367500).

Almost surely, 2^{112101013013112} is an apocalyptic number.

112101013013112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112101013013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156821975520000).

112101013013112 is an abundant number, since it is smaller than the sum of its proper divisors (201542938026888).

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

112101013013112 is a wasteful number, since it uses less digits than its factorization.

112101013013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143250 (or 143240 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 112101013013112 its reverse (211310310101211), we get a palindrome (323411323114323).

The spelling of 112101013013112 in words is "one hundred twelve trillion, one hundred one billion, thirteen million, thirteen thousand, one hundred twelve".