100301314225 has 24 divisors (see below), whose sum is σ = 144550480320. Its totient is φ = 67612307520.

The previous prime is 100301314213. The next prime is 100301314237. The reversal of 100301314225 is 522413103001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100301314213) and next prime (100301314237).

It is not a de Polignac number, because 100301314225 - 2²⁵ = 100267759793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100301314196 and 100301314205.

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 23 ways as a sum of consecutive naturals, for example, 4846882 + ... + 4867531.

It is an arithmetic number, because the mean of its divisors is an integer number (6022936680).

Almost surely, 2^100301314225 is an apocalyptic number.

It is an amenable number.

100301314225 is a deficient number, since it is larger than the sum of its proper divisors (44249166095).

100301314225 is an equidigital number, since it uses as much as digits as its factorization.

100301314225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9714489 (or 9714484 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 100301314225 its reverse (522413103001), we get a palindrome (622714417226).

The spelling of 100301314225 in words is "one hundred billion, three hundred one million, three hundred fourteen thousand, two hundred twenty-five".