111101113223120 has 80 divisors (see below), whose sum is σ = 275925196152720. Its totient is φ = 41456157130752.

The previous prime is 111101113223083. The next prime is 111101113223129. The reversal of 111101113223120 is 21322311101111.

It can be written as a sum of positive squares in 8 ways, for example, as 14244495059344 + 96856618163776 = 3774188^2 + 9841576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111101113223092 and 111101113223101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101113223129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361315325 + ... + 361622684.

It is an arithmetic number, because the mean of its divisors is an integer number (3449064951909).

Almost surely, 2^{111101113223120} is an apocalyptic number.

111101113223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111101113223120 is an abundant number, since it is smaller than the sum of its proper divisors (164824082929600).

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

111101113223120 is a wasteful number, since it uses less digits than its factorization.

111101113223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722938152 (or 722938146 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 111101113223120 its reverse (21322311101111), we get a palindrome (132423424324231).

The spelling of 111101113223120 in words is "one hundred eleven trillion, one hundred one billion, one hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".