11122102330200 has 288 divisors, whose sum is σ = 37521899672400. Its totient is φ = 2952391680000.

The previous prime is 11122102330193. The next prime is 11122102330219. The reversal of 11122102330200 is 203320122111.

11122102330200 is a `hidden beast` number, since 1 + 1 + 122 + 10 + 2 + 330 + 200 = 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, 1757320636 + ... + 1757326964.

Almost surely, 2^{11122102330200} is an apocalyptic number.

11122102330200 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 11122102330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760949836200).

11122102330200 is an abundant number, since it is smaller than the sum of its proper divisors (26399797342200).

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

11122102330200 is a wasteful number, since it uses less digits than its factorization.

11122102330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10643 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11122102330200 its reverse (203320122111), we get a palindrome (11325422452311).

The spelling of 11122102330200 in words is "eleven trillion, one hundred twenty-two billion, one hundred two million, three hundred thirty thousand, two hundred".