201020221011200 has 216 divisors, whose sum is σ = 506538703286616. Its totient is φ = 78960807936000.

The previous prime is 201020221011199. The next prime is 201020221011251. The reversal of 201020221011200 is 2110122020102.

It can be written as a sum of positive squares in 12 ways, for example, as 128650763674624 + 72369457336576 = 11342432^2 + 8507024^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238895210 + ... + 239735190.

Almost surely, 2^{201020221011200} is an apocalyptic number.

201020221011200 is a gapful number since it is divisible by the number (20) 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 201020221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253269351643308).

201020221011200 is an abundant number, since it is smaller than the sum of its proper divisors (305518482275416).

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

201020221011200 is an equidigital number, since it uses as much as digits as its factorization.

201020221011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840681 (or 840662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201020221011200 its reverse (2110122020102), we get a palindrome (203130343031302).

The spelling of 201020221011200 in words is "two hundred one trillion, twenty billion, two hundred twenty-one million, eleven thousand, two hundred".