11201000010200 has 1536 divisors, whose sum is σ = 36947135232000. Its totient is φ = 3046809600000.

The previous prime is 11201000010127. The next prime is 11201000010209. The reversal of 11201000010200 is 201000010211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201000010209) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48912663686 + ... + 48912663914.

It is an arithmetic number, because the mean of its divisors is an integer number (24054124500).

Almost surely, 2^{11201000010200} is an apocalyptic number.

11201000010200 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 11201000010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18473567616000).

11201000010200 is an abundant number, since it is smaller than the sum of its proper divisors (25746135221800).

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

11201000010200 is a wasteful number, since it uses less digits than its factorization.

11201000010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11201000010200 its reverse (201000010211), we get a palindrome (11402000020411).

The spelling of 11201000010200 in words is "eleven trillion, two hundred one billion, ten thousand, two hundred".