11201200102200 has 192 divisors, whose sum is σ = 34934023945440. Its totient is φ = 2968905594880.

The previous prime is 11201200102171. The next prime is 11201200102241. The reversal of 11201200102200 is 220100210211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441448714 + ... + 441474086.

Almost surely, 2^{11201200102200} is an apocalyptic number.

11201200102200 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 11201200102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467011972720).

11201200102200 is an abundant number, since it is smaller than the sum of its proper divisors (23732823843240).

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

11201200102200 is a wasteful number, since it uses less digits than its factorization.

11201200102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29818 (or 29809 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11201200102200 its reverse (220100210211), we get a palindrome (11421300312411).

The spelling of 11201200102200 in words is "eleven trillion, two hundred one billion, two hundred million, one hundred two thousand, two hundred".