12300102200100 has 288 divisors, whose sum is σ = 42224001240960. Its totient is φ = 2725217280000.

The previous prime is 12300102200051. The next prime is 12300102200147. The reversal of 12300102200100 is 100220100321.

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, 2913516 + ... + 5752284.

It is an arithmetic number, because the mean of its divisors is an integer number (146611115420).

Almost surely, 2^{12300102200100} is an apocalyptic number.

12300102200100 is a gapful number since it is divisible by the number (10) 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 12300102200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21112000620480).

12300102200100 is an abundant number, since it is smaller than the sum of its proper divisors (29923899040860).

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

12300102200100 is a wasteful number, since it uses less digits than its factorization.

12300102200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838911 (or 2838904 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12300102200100 its reverse (100220100321), we get a palindrome (12400322300421).

The spelling of 12300102200100 in words is "twelve trillion, three hundred billion, one hundred two million, two hundred thousand, one hundred".