201122010220000 has 120 divisors (see below), whose sum is σ = 494811002369376. Its totient is φ = 80445440256000.

The previous prime is 201122010219971. The next prime is 201122010220009. The reversal of 201122010220000 is 22010221102.

It is a happy number.

201122010220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122010220009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 508942489 + ... + 509337511.

Almost surely, 2^{201122010220000} is an apocalyptic number.

201122010220000 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 201122010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247405501184688).

201122010220000 is an abundant number, since it is smaller than the sum of its proper divisors (293688992149376).

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

201122010220000 is an equidigital number, since it uses as much as digits as its factorization.

201122010220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420510 (or 420487 counting only the distinct ones).

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

Adding to 201122010220000 its reverse (22010221102), we get a palindrome (201144020441102).

The spelling of 201122010220000 in words is "two hundred one trillion, one hundred twenty-two billion, ten million, two hundred twenty thousand".