300100132200 has 384 divisors, whose sum is σ = 1072988467200. Its totient is φ = 68620032000.

The previous prime is 300100132193. The next prime is 300100132349. The reversal of 300100132200 is 2231001003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29213065 + ... + 29223335.

It is an arithmetic number, because the mean of its divisors is an integer number (2794240800).

Almost surely, 2^300100132200 is an apocalyptic number.

300100132200 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 300100132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536494233600).

300100132200 is an abundant number, since it is smaller than the sum of its proper divisors (772888335000).

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

300100132200 is a wasteful number, since it uses less digits than its factorization.

300100132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10553 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 300100132200 its reverse (2231001003), we get a palindrome (302331133203).

The spelling of 300100132200 in words is "three hundred billion, one hundred million, one hundred thirty-two thousand, two hundred".