201022221011000 has 128 divisors (see below), whose sum is σ = 471968614840320. Its totient is φ = 80139451600000.

The previous prime is 201022221010999. The next prime is 201022221011021. The reversal of 201022221011000 is 110122220102.

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 31 ways as a sum of consecutive naturals, for example, 2522481155 + ... + 2522560845.

It is an arithmetic number, because the mean of its divisors is an integer number (3687254803440).

Almost surely, 2^{201022221011000} is an apocalyptic number.

201022221011000 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 201022221011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235984307420160).

201022221011000 is an abundant number, since it is smaller than the sum of its proper divisors (270946393829320).

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

201022221011000 is a wasteful number, since it uses less digits than its factorization.

201022221011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88134 (or 88120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201022221011000 its reverse (110122220102), we get a palindrome (201132343231102).

The spelling of 201022221011000 in words is "two hundred one trillion, twenty-two billion, two hundred twenty-one million, eleven thousand".