201021012320 has 192 divisors, whose sum is σ = 513559388160. Its totient is φ = 74106777600.

The previous prime is 201021012229. The next prime is 201021012331. The reversal of 201021012320 is 23210120102.

It is a happy number.

201021012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201021012295 and 201021012304.

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, 47735015 + ... + 47739225.

It is an arithmetic number, because the mean of its divisors is an integer number (2674788480).

Almost surely, 2^201021012320 is an apocalyptic number.

201021012320 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 201021012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256779694080).

201021012320 is an abundant number, since it is smaller than the sum of its proper divisors (312538375840).

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

201021012320 is a wasteful number, since it uses less digits than its factorization.

201021012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201021012320 its reverse (23210120102), we get a palindrome (224231132422).

The spelling of 201021012320 in words is "two hundred one billion, twenty-one million, twelve thousand, three hundred twenty".