11201020021200 has 240 divisors, whose sum is σ = 36692548598016. Its totient is φ = 2919762892800.

The previous prime is 11201020021183. The next prime is 11201020021223. The reversal of 11201020021200 is 212002010211.

11201020021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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, 16910662 + ... + 17560538.

Almost surely, 2^{11201020021200} is an apocalyptic number.

11201020021200 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 11201020021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346274299008).

11201020021200 is an abundant number, since it is smaller than the sum of its proper divisors (25491528576816).

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

11201020021200 is a wasteful number, since it uses less digits than its factorization.

11201020021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650222 (or 650211 counting only the distinct ones).

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

Adding to 11201020021200 its reverse (212002010211), we get a palindrome (11413022031411).

The spelling of 11201020021200 in words is "eleven trillion, two hundred one billion, twenty million, twenty-one thousand, two hundred".