300100000200 has 1152 divisors, whose sum is σ = 1303150343040. Its totient is φ = 56125440000.

The previous prime is 300100000181. The next prime is 300100000223. The reversal of 300100000200 is 2000001003.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172371330 + ... + 172373070.

It is an arithmetic number, because the mean of its divisors is an integer number (1131206895).

Almost surely, 2^300100000200 is an apocalyptic number.

300100000200 is a gapful number since it is divisible by the number (30) 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 300100000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651575171520).

300100000200 is an abundant number, since it is smaller than the sum of its proper divisors (1003050342840).

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

300100000200 is a wasteful number, since it uses less digits than its factorization.

300100000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 300100000200 its reverse (2000001003), we get a palindrome (302100001203).

The spelling of 300100000200 in words is "three hundred billion, one hundred million, two hundred", and thus it is an aban number.