201022022000 has 80 divisors (see below), whose sum is σ = 486511813632. Its totient is φ = 80335929600.

The previous prime is 201022021987. The next prime is 201022022023. The reversal of 201022022000 is 220220102.

201022022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2189009 + ... + 2278991.

Almost surely, 2^201022022000 is an apocalyptic number.

201022022000 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 201022022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243255906816).

201022022000 is an abundant number, since it is smaller than the sum of its proper divisors (285489791632).

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

201022022000 is a wasteful number, since it uses less digits than its factorization.

201022022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91123 (or 91107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 201022022000 its reverse (220220102), we get a palindrome (201242242102).

The spelling of 201022022000 in words is "two hundred one billion, twenty-two million, twenty-two thousand".