100300213344 has 48 divisors (see below), whose sum is σ = 267750584640. Its totient is φ = 32866734720.

The previous prime is 100300213309. The next prime is 100300213357. The reversal of 100300213344 is 443312003001.

100300213344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100300213344.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8848522 + ... + 8859849.

It is an arithmetic number, because the mean of its divisors is an integer number (5578137180).

Almost surely, 2^100300213344 is an apocalyptic number.

It is an amenable number.

100300213344 is an abundant number, since it is smaller than the sum of its proper divisors (167450371296).

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

100300213344 is a wasteful number, since it uses less digits than its factorization.

100300213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17708443 (or 17708435 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100300213344 its reverse (443312003001), we get a palindrome (543612216345).

The spelling of 100300213344 in words is "one hundred billion, three hundred million, two hundred thirteen thousand, three hundred forty-four".