111001002211120 has 160 divisors (see below), whose sum is σ = 295733838965760. Its totient is φ = 37955787985920.

The previous prime is 111001002211097. The next prime is 111001002211123. The reversal of 111001002211120 is 21112200100111.

It is a happy number.

111001002211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 111001002211120.

It is not an unprimeable number, because it can be changed into a prime (111001002211123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2867408565 + ... + 2867447275.

It is an arithmetic number, because the mean of its divisors is an integer number (1848336493536).

Almost surely, 2^{111001002211120} is an apocalyptic number.

111001002211120 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 111001002211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147866919482880).

111001002211120 is an abundant number, since it is smaller than the sum of its proper divisors (184732836754640).

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

111001002211120 is a wasteful number, since it uses less digits than its factorization.

111001002211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52283 (or 52277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111001002211120 its reverse (21112200100111), we get a palindrome (132113202311231).

The spelling of 111001002211120 in words is "one hundred eleven trillion, one billion, two million, two hundred eleven thousand, one hundred twenty".