100300011300 has 108 divisors (see below), whose sum is σ = 314447944356. Its totient is φ = 26741299200.

The previous prime is 100300011289. The next prime is 100300011313. The reversal of 100300011300 is 3110003001.

It can be written as a sum of positive squares in 6 ways, for example, as 10285610724 + 90014400576 = 101418^2 + 300024^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6725452 + ... + 6740348.

Almost surely, 2^100300011300 is an apocalyptic number.

100300011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100300011300 is an abundant number, since it is smaller than the sum of its proper divisors (214147933056).

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

100300011300 is a wasteful number, since it uses less digits than its factorization.

100300011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22398 (or 22388 counting only the distinct ones).

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

Adding to 100300011300 its reverse (3110003001), we get a palindrome (103410014301).

The spelling of 100300011300 in words is "one hundred billion, three hundred million, eleven thousand, three hundred".