11211200210200 has 192 divisors, whose sum is σ = 27460920960000. Its totient is φ = 4248285719040.

The previous prime is 11211200210167. The next prime is 11211200210251. The reversal of 11211200210200 is 201200211211.

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, 1808546701 + ... + 1808552899.

It is an arithmetic number, because the mean of its divisors is an integer number (143025630000).

Almost surely, 2^{11211200210200} is an apocalyptic number.

11211200210200 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 11211200210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13730460480000).

11211200210200 is an abundant number, since it is smaller than the sum of its proper divisors (16249720749800).

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

11211200210200 is a wasteful number, since it uses less digits than its factorization.

11211200210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9945 counting only the distinct ones).

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

Adding to 11211200210200 its reverse (201200211211), we get a palindrome (11412400421411).

The spelling of 11211200210200 in words is "eleven trillion, two hundred eleven billion, two hundred million, two hundred ten thousand, two hundred".