11300113221100 has 72 divisors (see below), whose sum is σ = 26789617729728. Its totient is φ = 4103115508800.

The previous prime is 11300113221083. The next prime is 11300113221113. The reversal of 11300113221100 is 112231100311.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 6769074 + ... + 8271673.

It is an arithmetic number, because the mean of its divisors is an integer number (372078024024).

Almost surely, 2^{11300113221100} is an apocalyptic number.

11300113221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300113221100 is an abundant number, since it is smaller than the sum of its proper divisors (15489504508628).

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

11300113221100 is a wasteful number, since it uses less digits than its factorization.

11300113221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15041455 (or 15041448 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11300113221100 its reverse (112231100311), we get a palindrome (11412344321411).

The spelling of 11300113221100 in words is "eleven trillion, three hundred billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred".