20201221010200 has 192 divisors, whose sum is σ = 47970905335200. Its totient is φ = 7908693811200.

The previous prime is 20201221010197. The next prime is 20201221010207. The reversal of 20201221010200 is 201012210202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201221010207) 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 47 ways as a sum of consecutive naturals, for example, 13566971056 + ... + 13566972544.

Almost surely, 2^{20201221010200} is an apocalyptic number.

20201221010200 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 20201221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985452667600).

20201221010200 is an abundant number, since it is smaller than the sum of its proper divisors (27769684325000).

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

20201221010200 is a wasteful number, since it uses less digits than its factorization.

20201221010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20201221010200 its reverse (201012210202), we get a palindrome (20402233220402).

The spelling of 20201221010200 in words is "twenty trillion, two hundred one billion, two hundred twenty-one million, ten thousand, two hundred".