112100011100 has 576 divisors, whose sum is σ = 331988751360. Its totient is φ = 31795200000.

The previous prime is 112100011099. The next prime is 112100011103. The reversal of 112100011100 is 1110001211.

It is a happy number.

112100011100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 806474831 + ... + 806474969.

It is an arithmetic number, because the mean of its divisors is an integer number (576369360).

Almost surely, 2^112100011100 is an apocalyptic number.

112100011100 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 112100011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165994375680).

112100011100 is an abundant number, since it is smaller than the sum of its proper divisors (219888740260).

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

112100011100 is a wasteful number, since it uses less digits than its factorization.

112100011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 112100011100 its reverse (1110001211), we get a palindrome (113210012311).

The spelling of 112100011100 in words is "one hundred twelve billion, one hundred million, eleven thousand, one hundred".