30013101200200 has 96 divisors (see below), whose sum is σ = 69985540895400. Its totient is φ = 11969980528640.

The previous prime is 30013101200191. The next prime is 30013101200227. The reversal of 30013101200200 is 200210131003.

It can be written as a sum of positive squares in 12 ways, for example, as 4163991223396 + 25849109976804 = 2040586^2 + 5084202^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215981142 + ... + 216120058.

Almost surely, 2^{30013101200200} 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 30013101200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992770447700).

30013101200200 is an abundant number, since it is smaller than the sum of its proper divisors (39972439695200).

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

30013101200200 is a wasteful number, since it uses less digits than its factorization.

30013101200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142099 (or 142090 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30013101200200 its reverse (200210131003), we get a palindrome (30213311331203).

The spelling of 30013101200200 in words is "thirty trillion, thirteen billion, one hundred one million, two hundred thousand, two hundred".