201000122200020 has 384 divisors, whose sum is σ = 670579122511872. Its totient is φ = 44340610406400.

The previous prime is 201000122200013. The next prime is 201000122200043. The reversal of 201000122200020 is 20002221000102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201000122199969 and 201000122200005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9623206017 + ... + 9623226903.

It is an arithmetic number, because the mean of its divisors is an integer number (1746299798208).

Almost surely, 2^{201000122200020} is an apocalyptic number.

201000122200020 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 201000122200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335289561255936).

201000122200020 is an abundant number, since it is smaller than the sum of its proper divisors (469579000311852).

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

201000122200020 is a wasteful number, since it uses less digits than its factorization.

201000122200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36791 (or 36789 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201000122200020 its reverse (20002221000102), we get a palindrome (221002343200122).

The spelling of 201000122200020 in words is "two hundred one trillion, one hundred twenty-two million, two hundred thousand, twenty".