112112100210000 has 800 divisors, whose sum is σ = 410219795145600. Its totient is φ = 26126392320000.

The previous prime is 112112100209987. The next prime is 112112100210007. The reversal of 112112100210000 is 12001211211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112100210007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2191504422 + ... + 2191555578.

It is an arithmetic number, because the mean of its divisors is an integer number (512774743932).

Almost surely, 2^{112112100210000} is an apocalyptic number.

112112100210000 is a gapful number since it is divisible by the number (10) 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 112112100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205109897572800).

112112100210000 is an abundant number, since it is smaller than the sum of its proper divisors (298107694935600).

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

112112100210000 is a wasteful number, since it uses less digits than its factorization.

112112100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51457 (or 51436 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112112100210000 its reverse (12001211211), we get a palindrome (112124101421211).

The spelling of 112112100210000 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred million, two hundred ten thousand".