111102022211220 has 576 divisors, whose sum is σ = 360862951176000. Its totient is φ = 27614459658240.

The previous prime is 111102022211207. The next prime is 111102022211221. The reversal of 111102022211220 is 22112220201111.

111102022211220 is a `hidden beast` number, since 1 + 11 + 10 + 202 + 221 + 1 + 220 = 666.

111102022211220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 86489330401296 + 24612691809924 = 9299964^2 + 4961118^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111102022211193 and 111102022211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111102022211221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35598211260 + ... + 35598214380.

It is an arithmetic number, because the mean of its divisors is an integer number (626498179125).

Almost surely, 2^{111102022211220} is an apocalyptic number.

111102022211220 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 111102022211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180431475588000).

111102022211220 is an abundant number, since it is smaller than the sum of its proper divisors (249760928964780).

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

111102022211220 is a wasteful number, since it uses less digits than its factorization.

111102022211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111102022211220 its reverse (22112220201111), we get a palindrome (133214242412331).

The spelling of 111102022211220 in words is "one hundred eleven trillion, one hundred two billion, twenty-two million, two hundred eleven thousand, two hundred twenty".