111111010111120 has 40 divisors (see below), whose sum is σ = 263207307924216. Its totient is φ = 43605830381568.

The previous prime is 111111010111103. The next prime is 111111010111159. The reversal of 111111010111120 is 21111010111111.

It can be written as a sum of positive squares in 4 ways, for example, as 21030258687376 + 90080751423744 = 4585876^2 + 9491088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 111111010111120.

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 7 ways as a sum of consecutive naturals, for example, 13102709217 + ... + 13102717696.

Almost surely, 2^{111111010111120} is an apocalyptic number.

111111010111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111010111120 is an abundant number, since it is smaller than the sum of its proper divisors (152096297813096).

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

111111010111120 is a wasteful number, since it uses less digits than its factorization.

111111010111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26205426979 (or 26205426973 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 111111010111120 its reverse (21111010111111), we get a palindrome (132222020222231).

Subtracting from 111111010111120 its reverse (21111010111111), we obtain a palindrome (90000000000009).

The spelling of 111111010111120 in words is "one hundred eleven trillion, one hundred eleven billion, ten million, one hundred eleven thousand, one hundred twenty".