100010123300 has 144 divisors (see below), whose sum is σ = 235749286080. Its totient is φ = 36700416000.

The previous prime is 100010123299. The next prime is 100010123329. The reversal of 100010123300 is 3321010001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10667615 + ... + 10676985.

It is an arithmetic number, because the mean of its divisors is an integer number (1637147820).

Almost surely, 2^100010123300 is an apocalyptic number.

100010123300 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 100010123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117874643040).

100010123300 is an abundant number, since it is smaller than the sum of its proper divisors (135739162780).

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

100010123300 is a wasteful number, since it uses less digits than its factorization.

100010123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9582 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100010123300 its reverse (3321010001), we get a palindrome (103331133301).

The spelling of 100010123300 in words is "one hundred billion, ten million, one hundred twenty-three thousand, three hundred".