112101112211200 has 216 divisors, whose sum is σ = 318421844454560. Its totient is φ = 38275183411200.

The previous prime is 112101112211161. The next prime is 112101112211219. The reversal of 112101112211200 is 2112211101211.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 5605396 + ... + 15988204.

Almost surely, 2^{112101112211200} is an apocalyptic number.

112101112211200 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 112101112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159210922227280).

112101112211200 is an abundant number, since it is smaller than the sum of its proper divisors (206320732243360).

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

112101112211200 is a wasteful number, since it uses less digits than its factorization.

112101112211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383083 (or 10383064 counting only the distinct ones).

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

Adding to 112101112211200 its reverse (2112211101211), we get a palindrome (114213323312411).

The spelling of 112101112211200 in words is "one hundred twelve trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, two hundred".