201121022000 has 160 divisors (see below), whose sum is σ = 489540542400. Its totient is φ = 79916390400.

The previous prime is 201121021991. The next prime is 201121022077. The reversal of 201121022000 is 220121102.

It is a happy number.

201121022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 325965692 + ... + 325966308.

It is an arithmetic number, because the mean of its divisors is an integer number (3059628390).

Almost surely, 2^201121022000 is an apocalyptic number.

201121022000 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 201121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244770271200).

201121022000 is an abundant number, since it is smaller than the sum of its proper divisors (288419520400).

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

201121022000 is a wasteful number, since it uses less digits than its factorization.

201121022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201121022000 its reverse (220121102), we get a palindrome (201341143102).

The spelling of 201121022000 in words is "two hundred one billion, one hundred twenty-one million, twenty-two thousand".