100314400289 has 2 divisors, whose sum is σ = 100314400290. Its totient is φ = 100314400288.

The previous prime is 100314400243. The next prime is 100314400349. The reversal of 100314400289 is 982004413001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55522910689 + 44791489600 = 235633^2 + 211640^2 .

It is a cyclic number.

It is not a de Polignac number, because 100314400289 - 2⁸ = 100314400033 is a prime.

It is not a weakly prime, because it can be changed into another prime (100314400889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50157200144 + 50157200145.

It is an arithmetic number, because the mean of its divisors is an integer number (50157200145).

Almost surely, 2^100314400289 is an apocalyptic number.

It is an amenable number.

100314400289 is a deficient number, since it is larger than the sum of its proper divisors (1).

100314400289 is an equidigital number, since it uses as much as digits as its factorization.

100314400289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 100314400289 in words is "one hundred billion, three hundred fourteen million, four hundred thousand, two hundred eighty-nine".