201022120800 has 216 divisors, whose sum is σ = 723937477536. Its totient is φ = 52465259520.

The previous prime is 201022120769. The next prime is 201022120811. The reversal of 201022120800 is 8021220102.

It is a happy number.

201022120800 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41382 + ... + 635418.

It is an arithmetic number, because the mean of its divisors is an integer number (3351562396).

Almost surely, 2^201022120800 is an apocalyptic number.

201022120800 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 201022120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361968738768).

201022120800 is an abundant number, since it is smaller than the sum of its proper divisors (522915356736).

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

201022120800 is a wasteful number, since it uses less digits than its factorization.

201022120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594110 (or 594094 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201022120800 its reverse (8021220102), we get a palindrome (209043340902).

The spelling of 201022120800 in words is "two hundred one billion, twenty-two million, one hundred twenty thousand, eight hundred".