201322113323100 has 576 divisors, whose sum is σ = 793747468910592. Its totient is φ = 38102312448000.

The previous prime is 201322113323081. The next prime is 201322113323159. The reversal of 201322113323100 is 1323311223102.

201322113323100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201322113323100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3904969 + ... + 20442431.

It is an arithmetic number, because the mean of its divisors is an integer number (1378033800192).

Almost surely, 2^{201322113323100} is an apocalyptic number.

201322113323100 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 201322113323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396873734455296).

201322113323100 is an abundant number, since it is smaller than the sum of its proper divisors (592425355587492).

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

201322113323100 is a wasteful number, since it uses less digits than its factorization.

201322113323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16537546 (or 16537539 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 201322113323100 its reverse (1323311223102), we get a palindrome (202645424546202).

The spelling of 201322113323100 in words is "two hundred one trillion, three hundred twenty-two billion, one hundred thirteen million, three hundred twenty-three thousand, one hundred".