11102200211200 has 432 divisors, whose sum is σ = 31938968900160. Its totient is φ = 3742132469760.

The previous prime is 11102200211159. The next prime is 11102200211209. The reversal of 11102200211200 is 211200220111.

It is a super-3 number, since 3×11102200211200³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102200211209) 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 47 ways as a sum of consecutive naturals, for example, 1036711446 + ... + 1036722154.

It is an arithmetic number, because the mean of its divisors is an integer number (73932798380).

Almost surely, 2^{11102200211200} is an apocalyptic number.

11102200211200 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 11102200211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15969484450080).

11102200211200 is an abundant number, since it is smaller than the sum of its proper divisors (20836768688960).

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

11102200211200 is a wasteful number, since it uses less digits than its factorization.

11102200211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11132 (or 11113 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11102200211200 its reverse (211200220111), we get a palindrome (11313400431311).

The spelling of 11102200211200 in words is "eleven trillion, one hundred two billion, two hundred million, two hundred eleven thousand, two hundred".