100144217 has 2 divisors, whose sum is σ = 100144218. Its totient is φ = 100144216.

The previous prime is 100144201. The next prime is 100144243. The reversal of 100144217 is 712441001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71639296 + 28504921 = 8464^2 + 5339^2 .

It is an emirp because it is prime and its reverse (712441001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100144217 - 2⁴ = 100144201 is a prime.

It is not a weakly prime, because it can be changed into another prime (100144267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50072108 + 50072109.

It is an arithmetic number, because the mean of its divisors is an integer number (50072109).

Almost surely, 2^100144217 is an apocalyptic number.

It is an amenable number.

100144217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100144217 is an equidigital number, since it uses as much as digits as its factorization.

100144217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 100144217 is about 10007.2082520551. The cubic root of 100144217 is about 464.3819081880.

Adding to 100144217 its reverse (712441001), we get a palindrome (812585218).

The spelling of 100144217 in words is "one hundred million, one hundred forty-four thousand, two hundred seventeen".