100129 has 2 divisors, whose sum is σ = 100130. Its totient is φ = 100128.

The previous prime is 100109. The next prime is 100151. The reversal of 100129 is 921001.

100129 is nontrivially palindromic in base 13.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 25600 = 273^2 + 160^2 .

It is an emirp because it is prime and its reverse (921001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100129 - 2¹¹ = 98081 is a prime.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 100129 parts by 447 straight cuts.

It is not a weakly prime, because it can be changed into another prime (100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50064 + 50065.

It is an arithmetic number, because the mean of its divisors is an integer number (50065).

2¹⁰⁰¹²⁹ is an apocalyptic number.

It is an amenable number.

100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100129 is an equidigital number, since it uses as much as digits as its factorization.

100129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 100129 is about 316.4316671890. The cubic root of 100129 is about 46.4358385920.

The spelling of 100129 in words is "one hundred thousand, one hundred twenty-nine".