201020221220000 has 480 divisors, whose sum is σ = 614691432077184. Its totient is φ = 62989632000000.

The previous prime is 201020221219921. The next prime is 201020221220009. The reversal of 201020221220000 is 22122020102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (201020221220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183273215 + ... + 184366785.

Almost surely, 2^{201020221220000} is an apocalyptic number.

201020221220000 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 201020221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307345716038592).

201020221220000 is an abundant number, since it is smaller than the sum of its proper divisors (413671210857184).

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

201020221220000 is a wasteful number, since it uses less digits than its factorization.

201020221220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093722 (or 1093699 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201020221220000 its reverse (22122020102), we get a palindrome (201042343240102).

The spelling of 201020221220000 in words is "two hundred one trillion, twenty billion, two hundred twenty-one million, two hundred twenty thousand".