11102112011200 has 168 divisors, whose sum is σ = 32863921673600. Its totient is φ = 3606099471360.

The previous prime is 11102112011173. The next prime is 11102112011203. The reversal of 11102112011200 is 211021120111.

It is a happy number.

It is a super-2 number, since 2×11102112011200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102112011203) by changing a digit.

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, 25872990 + ... + 26298589.

Almost surely, 2^{11102112011200} is an apocalyptic number.

11102112011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102112011200 is an abundant number, since it is smaller than the sum of its proper divisors (21761809662400).

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

11102112011200 is a wasteful number, since it uses less digits than its factorization.

11102112011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52171627 (or 52171612 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11102112011200 its reverse (211021120111), we get a palindrome (11313133131311).

The spelling of 11102112011200 in words is "eleven trillion, one hundred two billion, one hundred twelve million, eleven thousand, two hundred".