201302201300200 has 648 divisors, whose sum is σ = 648009458587890. Its totient is φ = 57917059200000.

The previous prime is 201302201300147. The next prime is 201302201300261. The reversal of 201302201300200 is 2003102203102.

201302201300200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 8180984298564 + 193121217001636 = 2860242^2 + 13896806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 199897950 + ... + 200902450.

Almost surely, 2^{201302201300200} is an apocalyptic number.

201302201300200 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 201302201300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324004729293945).

201302201300200 is an abundant number, since it is smaller than the sum of its proper divisors (446707257287690).

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

201302201300200 is a wasteful number, since it uses less digits than its factorization.

201302201300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004579 (or 1004539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 201302201300200 its reverse (2003102203102), we get a palindrome (203305303503302).

The spelling of 201302201300200 in words is "two hundred one trillion, three hundred two billion, two hundred one million, three hundred thousand, two hundred".