100129253617 has 2 divisors, whose sum is σ = 100129253618. Its totient is φ = 100129253616.

The previous prime is 100129253593. The next prime is 100129253633. The reversal of 100129253617 is 716352921001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96023135376 + 4106118241 = 309876^2 + 64079^2 .

It is an emirp because it is prime and its reverse (716352921001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100129253617 is a prime.

It is not a weakly prime, because it can be changed into another prime (100129223617) 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, 50064626808 + 50064626809.

It is an arithmetic number, because the mean of its divisors is an integer number (50064626809).

Almost surely, 2^100129253617 is an apocalyptic number.

It is an amenable number.

100129253617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100129253617 is an equidigital number, since it uses as much as digits as its factorization.

100129253617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

It can be divided in two parts, 10012 and 9253617, that added together give a palindrome (9263629).

The spelling of 100129253617 in words is "one hundred billion, one hundred twenty-nine million, two hundred fifty-three thousand, six hundred seventeen".