112110201100000 has 576 divisors, whose sum is σ = 304856387942400. Its totient is φ = 40415328000000.

The previous prime is 112110201099997. The next prime is 112110201100129. The reversal of 112110201100000 is 1102011211.

112110201100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 112110201100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3475083870 + ... + 3475116130.

It is an arithmetic number, because the mean of its divisors is an integer number (529264562400).

Almost surely, 2^{112110201100000} is an apocalyptic number.

112110201100000 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 112110201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152428193971200).

112110201100000 is an abundant number, since it is smaller than the sum of its proper divisors (192746186842400).

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

112110201100000 is an equidigital number, since it uses as much as digits as its factorization.

112110201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32405 (or 32377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112110201100000 its reverse (1102011211), we get a palindrome (112111303111211).

The spelling of 112110201100000 in words is "one hundred twelve trillion, one hundred ten billion, two hundred one million, one hundred thousand".