230300012000100 has 432 divisors, whose sum is σ = 788369800478400. Its totient is φ = 51740705479680.

The previous prime is 230300012000057. The next prime is 230300012000101. The reversal of 230300012000100 is 1000210003032.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (230300012000101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 8753645746 + ... + 8753672054.

It is an arithmetic number, because the mean of its divisors is an integer number (1824930093700).

Almost surely, 2^{230300012000100} is an apocalyptic number.

230300012000100 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 230300012000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394184900239200).

230300012000100 is an abundant number, since it is smaller than the sum of its proper divisors (558069788478300).

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

230300012000100 is a wasteful number, since it uses less digits than its factorization.

230300012000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36492 (or 36478 counting only the distinct ones).

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

Adding to 230300012000100 its reverse (1000210003032), we get a palindrome (231300222003132).

The spelling of 230300012000100 in words is "two hundred thirty trillion, three hundred billion, twelve million, one hundred", and thus it is an aban number.