11300233022100 has 216 divisors, whose sum is σ = 39684272523168. Its totient is φ = 2665411142400.

The previous prime is 11300233022093. The next prime is 11300233022153. The reversal of 11300233022100 is 122033200311.

11300233022100 is a `hidden beast` number, since 1 + 1 + 300 + 2 + 330 + 22 + 10 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15058534 + ... + 15791133.

Almost surely, 2^{11300233022100} is an apocalyptic number.

11300233022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300233022100 is an abundant number, since it is smaller than the sum of its proper divisors (28384039501068).

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

11300233022100 is a wasteful number, since it uses less digits than its factorization.

11300233022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30849735 (or 30849725 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11300233022100 its reverse (122033200311), we get a palindrome (11422266222411).

The spelling of 11300233022100 in words is "eleven trillion, three hundred billion, two hundred thirty-three million, twenty-two thousand, one hundred".