11202221112200 has 24 divisors (see below), whose sum is σ = 26045164086330. Its totient is φ = 4480888444800.

The previous prime is 11202221112179. The next prime is 11202221112221. The reversal of 11202221112200 is 221112220211.

It is an interprime number because it is at equal distance from previous prime (11202221112179) and next prime (11202221112221).

It can be written as a sum of positive squares in 3 ways, for example, as 10237555345924 + 964665766276 = 3199618^2 + 982174^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 28005552581 + ... + 28005552980.

Almost surely, 2^{11202221112200} is an apocalyptic number.

11202221112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202221112200 is an abundant number, since it is smaller than the sum of its proper divisors (14842942974130).

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

11202221112200 is a wasteful number, since it uses less digits than its factorization.

11202221112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56011105577 (or 56011105568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11202221112200 its reverse (221112220211), we get a palindrome (11423333332411).

The spelling of 11202221112200 in words is "eleven trillion, two hundred two billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".