111111002111120 has 60 divisors (see below), whose sum is σ = 283952889510780. Its totient is φ = 40404000764160.

The previous prime is 111111002111009. The next prime is 111111002111147. The reversal of 111111002111120 is 21111200111111.

It can be written as a sum of positive squares in 2 ways, for example, as 78073199497216 + 33037802613904 = 8835904^2 + 5747852^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111111002111095 and 111111002111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5739194975 + ... + 5739214334.

It is an arithmetic number, because the mean of its divisors is an integer number (4732548158513).

Almost surely, 2^{111111002111120} is an apocalyptic number.

111111002111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111002111120 is an abundant number, since it is smaller than the sum of its proper divisors (172841887399660).

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

111111002111120 is a wasteful number, since it uses less digits than its factorization.

111111002111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478409344 (or 11478409327 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 111111002111120 its reverse (21111200111111), we get a palindrome (132222202222231).

The spelling of 111111002111120 in words is "one hundred eleven trillion, one hundred eleven billion, two million, one hundred eleven thousand, one hundred twenty".