111121101101100 has 144 divisors (see below), whose sum is σ = 327480818386176. Its totient is φ = 29084103840000.

The previous prime is 111121101101089. The next prime is 111121101101107. The reversal of 111121101101100 is 1101101121111.

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

It is not an unprimeable number, because it can be changed into a prime (111121101101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044825 + ... + 15047375.

It is an arithmetic number, because the mean of its divisors is an integer number (2274172349904).

Almost surely, 2^{111121101101100} is an apocalyptic number.

111121101101100 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 111121101101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163740409193088).

111121101101100 is an abundant number, since it is smaller than the sum of its proper divisors (216359717285076).

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

111121101101100 is a wasteful number, since it uses less digits than its factorization.

111121101101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13003096 (or 13003089 counting only the distinct ones).

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

Adding to 111121101101100 its reverse (1101101121111), we get a palindrome (112222202222211).

The spelling of 111121101101100 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred one million, one hundred one thousand, one hundred".