111101011100112 has 320 divisors, whose sum is σ = 331082580787200. Its totient is φ = 31750112816640.

The previous prime is 111101011100089. The next prime is 111101011100129. The reversal of 111101011100112 is 211001110101111.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2113003839 + ... + 2113056417.

It is an arithmetic number, because the mean of its divisors is an integer number (1034633064960).

Almost surely, 2^{111101011100112} is an apocalyptic number.

111101011100112 is a gapful number since it is divisible by the number (12) 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 111101011100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165541290393600).

111101011100112 is an abundant number, since it is smaller than the sum of its proper divisors (219981569687088).

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

111101011100112 is a wasteful number, since it uses less digits than its factorization.

111101011100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53574 (or 53568 counting only the distinct ones).

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

Adding to 111101011100112 its reverse (211001110101111), we get a palindrome (322102121201223).

Subtracting 111101011100112 from its reverse (211001110101111), we obtain a palindrome (99900099000999).

The spelling of 111101011100112 in words is "one hundred eleven trillion, one hundred one billion, eleven million, one hundred thousand, one hundred twelve".