111110100100000 has 144 divisors (see below), whose sum is σ = 274131490461696. Its totient is φ = 44327982880000.

The previous prime is 111110100099937. The next prime is 111110100100033. The reversal of 111110100100000 is 1001011111.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 36849477 + ... + 39750523.

It is an arithmetic number, because the mean of its divisors is an integer number (1903690905984).

Almost surely, 2^{111110100100000} is an apocalyptic number.

111110100100000 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 111110100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137065745230848).

111110100100000 is an abundant number, since it is smaller than the sum of its proper divisors (163021390361696).

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

111110100100000 is an frugal number, since it uses more digits than its factorization.

111110100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901465 (or 2901437 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111110100100000 its reverse (1001011111), we get a palindrome (111111101111111).

The spelling of 111110100100000 in words is "one hundred eleven trillion, one hundred ten billion, one hundred million, one hundred thousand".