112101100212112 has 80 divisors (see below), whose sum is σ = 245269188017280. Its totient is φ = 49166292224000.

The previous prime is 112101100212103. The next prime is 112101100212229. The reversal of 112101100212112 is 211212001101211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855237 + ... + 14997787.

It is an arithmetic number, because the mean of its divisors is an integer number (3065864850216).

Almost surely, 2^{112101100212112} 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 112101100212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122634594008640).

112101100212112 is an abundant number, since it is smaller than the sum of its proper divisors (133168087805168).

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

112101100212112 is a wasteful number, since it uses less digits than its factorization.

112101100212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14144152 (or 14144146 counting only the distinct ones).

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

Adding to 112101100212112 its reverse (211212001101211), we get a palindrome (323313101313323).

The spelling of 112101100212112 in words is "one hundred twelve trillion, one hundred one billion, one hundred million, two hundred twelve thousand, one hundred twelve".