30201332300200 has 96 divisors (see below), whose sum is σ = 71373487797720. Its totient is φ = 11881779840000.

The previous prime is 30201332300171. The next prime is 30201332300213. The reversal of 30201332300200 is 200323310203.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1866726503524 + 28334605796676 = 1366282^2 + 5323026^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233943670 + ... + 234072730.

Almost surely, 2^{30201332300200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30201332300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35686743898860).

30201332300200 is an abundant number, since it is smaller than the sum of its proper divisors (41172155497520).

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

30201332300200 is a wasteful number, since it uses less digits than its factorization.

30201332300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148319 (or 148310 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 30201332300200 its reverse (200323310203), we get a palindrome (30401655610403).

The spelling of 30201332300200 in words is "thirty trillion, two hundred one billion, three hundred thirty-two million, three hundred thousand, two hundred".