112100200111120 has 40 divisors (see below), whose sum is σ = 280681654896216. Its totient is φ = 41390843117568.

The previous prime is 112100200111099. The next prime is 112100200111129. The reversal of 112100200111120 is 21111002001211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1067279080464 + 111032921030656 = 1033092^2 + 10537216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 112100200111120.

It is not an unprimeable number, because it can be changed into a prime (112100200111129) 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 7 ways as a sum of consecutive naturals, for example, 53894325937 + ... + 53894328016.

Almost surely, 2^{112100200111120} is an apocalyptic number.

112100200111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100200111120 is an abundant number, since it is smaller than the sum of its proper divisors (168581454785096).

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

112100200111120 is a wasteful number, since it uses less digits than its factorization.

112100200111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107788653979 (or 107788653973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112100200111120 its reverse (21111002001211), we get a palindrome (133211202112331).

The spelling of 112100200111120 in words is "one hundred twelve trillion, one hundred billion, two hundred million, one hundred eleven thousand, one hundred twenty".