111210011101120 has 112 divisors (see below), whose sum is σ = 270466413356160. Its totient is φ = 43535422439424.

The previous prime is 111210011101093. The next prime is 111210011101121. The reversal of 111210011101120 is 21101110012111.

It is a super-2 number, since 2×111210011101120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111210011101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111210011101121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 329763946 + ... + 330101014.

It is an arithmetic number, because the mean of its divisors is an integer number (2414878690680).

Almost surely, 2^{111210011101120} is an apocalyptic number.

111210011101120 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 111210011101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233206678080).

111210011101120 is an abundant number, since it is smaller than the sum of its proper divisors (159256402255040).

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

111210011101120 is a wasteful number, since it uses less digits than its factorization.

111210011101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359070 (or 359060 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111210011101120 its reverse (21101110012111), we get a palindrome (132311121113231).

The spelling of 111210011101120 in words is "one hundred eleven trillion, two hundred ten billion, eleven million, one hundred one thousand, one hundred twenty".