112100111200 has 216 divisors, whose sum is σ = 343778840496. Its totient is φ = 34940083200.

The previous prime is 112100111159. The next prime is 112100111209. The reversal of 112100111200 is 2111001211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100111209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 594882 + ... + 760318.

It is an arithmetic number, because the mean of its divisors is an integer number (1591568706).

Almost surely, 2^112100111200 is an apocalyptic number.

112100111200 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 112100111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171889420248).

112100111200 is an abundant number, since it is smaller than the sum of its proper divisors (231678729296).

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

112100111200 is a wasteful number, since it uses less digits than its factorization.

112100111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165486 (or 165462 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112100111200 its reverse (2111001211), we get a palindrome (114211112411).

It can be divided in two parts, 11210011 and 1200, that added together give a palindrome (11211211).

The spelling of 112100111200 in words is "one hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred".