11102201221120 has 104 divisors (see below), whose sum is σ = 26644646226816. Its totient is φ = 4440444469248.

The previous prime is 11102201221103. The next prime is 11102201221141. The reversal of 11102201221120 is 2112210220111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11102201221094 and 11102201221103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281027289 + ... + 281066791.

Almost surely, 2^{11102201221120} is an apocalyptic number.

11102201221120 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 11102201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322323113408).

11102201221120 is an abundant number, since it is smaller than the sum of its proper divisors (15542445005696).

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

11102201221120 is an equidigital number, since it uses as much as digits as its factorization.

11102201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53255 (or 53233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11102201221120 its reverse (2112210220111), we get a palindrome (13214411441231).

The spelling of 11102201221120 in words is "eleven trillion, one hundred two billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".