11131101022200 has 96 divisors (see below), whose sum is σ = 34512476469360. Its totient is φ = 2967772032000.

The previous prime is 11131101022177. The next prime is 11131101022247. The reversal of 11131101022200 is 222010113111.

It is a super-3 number, since 3×11131101022200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131101022200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1793532 + ... + 5047668.

Almost surely, 2^{11131101022200} is an apocalyptic number.

11131101022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131101022200 is an abundant number, since it is smaller than the sum of its proper divisors (23381375447160).

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

11131101022200 is a wasteful number, since it uses less digits than its factorization.

11131101022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259857 (or 3259848 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11131101022200 its reverse (222010113111), we get a palindrome (11353111135311).

The spelling of 11131101022200 in words is "eleven trillion, one hundred thirty-one billion, one hundred one million, twenty-two thousand, two hundred".