201221112022000 has 320 divisors, whose sum is σ = 557446779122688. Its totient is φ = 68818273920000.

The previous prime is 201221112021949. The next prime is 201221112022019. The reversal of 201221112022000 is 220211122102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9762791695 + ... + 9762812305.

Almost surely, 2^{201221112022000} is an apocalyptic number.

201221112022000 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 201221112022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278723389561344).

201221112022000 is an abundant number, since it is smaller than the sum of its proper divisors (356225667100688).

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

201221112022000 is a wasteful number, since it uses less digits than its factorization.

201221112022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345 (or 22329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201221112022000 its reverse (220211122102), we get a palindrome (201441323144102).

The spelling of 201221112022000 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred twelve million, twenty-two thousand".