100144413209 has 2 divisors, whose sum is σ = 100144413210. Its totient is φ = 100144413208.

The previous prime is 100144413179. The next prime is 100144413251. The reversal of 100144413209 is 902314441001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98766889984 + 1377523225 = 314272^2 + 37115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100144413209 is a prime.

It is not a weakly prime, because it can be changed into another prime (100144413269) 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, 50072206604 + 50072206605.

It is an arithmetic number, because the mean of its divisors is an integer number (50072206605).

Almost surely, 2^100144413209 is an apocalyptic number.

It is an amenable number.

100144413209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100144413209 is an equidigital number, since it uses as much as digits as its factorization.

100144413209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 100144413209 in words is "one hundred billion, one hundred forty-four million, four hundred thirteen thousand, two hundred nine".