201020221320000 has 280 divisors, whose sum is σ = 664677935925696. Its totient is φ = 53600699904000.

The previous prime is 201020221319993. The next prime is 201020221320029. The reversal of 201020221320000 is 23122020102.

It is a happy number.

201020221320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1498372924 + ... + 1498507076.

Almost surely, 2^{201020221320000} is an apocalyptic number.

201020221320000 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 201020221320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332338967962848).

201020221320000 is an abundant number, since it is smaller than the sum of its proper divisors (463657714605696).

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

201020221320000 is a wasteful number, since it uses less digits than its factorization.

201020221320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146675 (or 146650 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201020221320000 its reverse (23122020102), we get a palindrome (201043343340102).

The spelling of 201020221320000 in words is "two hundred one trillion, twenty billion, two hundred twenty-one million, three hundred twenty thousand".