112101212203200 has 756 divisors, whose sum is σ = 438064063996104. Its totient is φ = 27168869376000.

The previous prime is 112101212203171. The next prime is 112101212203217. The reversal of 112101212203200 is 2302212101211.

112101212203200 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 0 + 121 + 220 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 107 ways as a sum of consecutive naturals, for example, 9902053540 + ... + 9902064860.

Almost surely, 2^{112101212203200} is an apocalyptic number.

112101212203200 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 112101212203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219032031998052).

112101212203200 is an abundant number, since it is smaller than the sum of its proper divisors (325962851792904).

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

112101212203200 is a wasteful number, since it uses less digits than its factorization.

112101212203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17025 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112101212203200 its reverse (2302212101211), we get a palindrome (114403424304411).

The spelling of 112101212203200 in words is "one hundred twelve trillion, one hundred one billion, two hundred twelve million, two hundred three thousand, two hundred".