112101115200 has 336 divisors, whose sum is σ = 377763779904. Its totient is φ = 29093068800.

The previous prime is 112101115187. The next prime is 112101115207. The reversal of 112101115200 is 2511101211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112101115200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101115207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28399627 + ... + 28403573.

It is an arithmetic number, because the mean of its divisors is an integer number (1124296964).

Almost surely, 2^112101115200 is an apocalyptic number.

112101115200 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 112101115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188881889952).

112101115200 is an abundant number, since it is smaller than the sum of its proper divisors (265662664704).

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

112101115200 is a wasteful number, since it uses less digits than its factorization.

112101115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 112101115200 its reverse (2511101211), we get a palindrome (114612216411).

The spelling of 112101115200 in words is "one hundred twelve billion, one hundred one million, one hundred fifteen thousand, two hundred".