12302000100 has 324 divisors, whose sum is σ = 43209539100. Its totient is φ = 2922716160.

The previous prime is 12302000089. The next prime is 12302000107. The reversal of 12302000100 is 100020321.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 11009885184 + 1292114916 = 104928^2 + 35946^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12302000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4409506 + ... + 4412294.

It is an arithmetic number, because the mean of its divisors is an integer number (133362775).

Almost surely, 2^12302000100 is an apocalyptic number.

12302000100 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 12302000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21604769550).

12302000100 is an abundant number, since it is smaller than the sum of its proper divisors (30907539000).

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

12302000100 is a wasteful number, since it uses less digits than its factorization.

12302000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12302000100 its reverse (100020321), we get a palindrome (12402020421).

The spelling of 12302000100 in words is "twelve billion, three hundred two million, one hundred", and thus it is an aban number.