112101212101200 has 360 divisors, whose sum is σ = 439711289399520. Its totient is φ = 24274547942400.

The previous prime is 112101212101183. The next prime is 112101212101279. The reversal of 112101212101200 is 2101212101211.

It is a happy number.

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 112101212101200.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 49053411 + ... + 51287810.

It is an arithmetic number, because the mean of its divisors is an integer number (1221420248332).

Almost surely, 2^{112101212101200} is an apocalyptic number.

112101212101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101212101200 is an abundant number, since it is smaller than the sum of its proper divisors (327610077298320).

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

112101212101200 is a wasteful number, since it uses less digits than its factorization.

112101212101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100341275 (or 100341257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112101212101200 its reverse (2101212101211), we get a palindrome (114202424202411).

The spelling of 112101212101200 in words is "one hundred twelve trillion, one hundred one billion, two hundred twelve million, one hundred one thousand, two hundred".