111120102011100 has 432 divisors, whose sum is σ = 413653269267168. Its totient is φ = 22811467069440.

The previous prime is 111120102011089. The next prime is 111120102011101. The reversal of 111120102011100 is 1110201021111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111120102011101) 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 143 ways as a sum of consecutive naturals, for example, 787087 + ... + 14928486.

Almost surely, 2^{111120102011100} is an apocalyptic number.

111120102011100 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 111120102011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206826634633584).

111120102011100 is an abundant number, since it is smaller than the sum of its proper divisors (302533167256068).

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

111120102011100 is a wasteful number, since it uses less digits than its factorization.

111120102011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15715654 (or 15715640 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111120102011100 its reverse (1110201021111), we get a palindrome (112230303032211).

The spelling of 111120102011100 in words is "one hundred eleven trillion, one hundred twenty billion, one hundred two million, eleven thousand, one hundred".