314003322100100 has 36 divisors (see below), whose sum is σ = 681400536467700. Its totient is φ = 125598872156160.

The previous prime is 314003322100087. The next prime is 314003322100123. The reversal of 314003322100100 is 1001223300413.

It can be written as a sum of positive squares in 6 ways, for example, as 54229644790084 + 259773677310016 = 7364078^2 + 16117496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25566065 + ... + 35799864.

Almost surely, 2^{314003322100100} is an apocalyptic number.

It is an amenable number.

314003322100100 is an abundant number, since it is smaller than the sum of its proper divisors (367397214367600).

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

314003322100100 is a wasteful number, since it uses less digits than its factorization.

314003322100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61417112 (or 61417105 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 314003322100100 its reverse (1001223300413), we get a palindrome (315004545400513).

The spelling of 314003322100100 in words is "three hundred fourteen trillion, three billion, three hundred twenty-two million, one hundred thousand, one hundred".