112101110211200 has 384 divisors, whose sum is σ = 319917345854400. Its totient is φ = 38360516198400.

The previous prime is 112101110211187. The next prime is 112101110211227. The reversal of 112101110211200 is 2112011101211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7346549171 + ... + 7346564429.

Almost surely, 2^{112101110211200} is an apocalyptic number.

112101110211200 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 112101110211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159958672927200).

112101110211200 is an abundant number, since it is smaller than the sum of its proper divisors (207816235643200).

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

112101110211200 is a wasteful number, since it uses less digits than its factorization.

112101110211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27588 (or 27571 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112101110211200 its reverse (2112011101211), we get a palindrome (114213121312411).

The spelling of 112101110211200 in words is "one hundred twelve trillion, one hundred one billion, one hundred ten million, two hundred eleven thousand, two hundred".