112111101011100 has 288 divisors, whose sum is σ = 331857009792000. Its totient is φ = 29214686592000.

The previous prime is 112111101011047. The next prime is 112111101011137. The reversal of 112111101011100 is 1110101111211.

112111101011100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7896809202 + ... + 7896823398.

It is an arithmetic number, because the mean of its divisors is an integer number (1152281284000).

Almost surely, 2^{112111101011100} is an apocalyptic number.

112111101011100 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 112111101011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165928504896000).

112111101011100 is an abundant number, since it is smaller than the sum of its proper divisors (219745908780900).

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

112111101011100 is a wasteful number, since it uses less digits than its factorization.

112111101011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17693 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 112111101011100 its reverse (1110101111211), we get a palindrome (113221202122311).

The spelling of 112111101011100 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred one million, eleven thousand, one hundred".