100129109 has 2 divisors, whose sum is σ = 100129110. Its totient is φ = 100129108.

The previous prime is 100129091. The next prime is 100129111. The reversal of 100129109 is 901921001.

Together with previous prime (100129091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93122500 + 7006609 = 9650^2 + 2647^2 .

It is a cyclic number.

It is not a de Polignac number, because 100129109 - 2¹² = 100125013 is a prime.

Together with 100129111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100129409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50064554 + 50064555.

It is an arithmetic number, because the mean of its divisors is an integer number (50064555).

Almost surely, 2^100129109 is an apocalyptic number.

It is an amenable number.

100129109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100129109 is an equidigital number, since it uses as much as digits as its factorization.

100129109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 23.

The square root of 100129109 is about 10006.4533677023. The cubic root of 100129109 is about 464.3585544191.

The spelling of 100129109 in words is "one hundred million, one hundred twenty-nine thousand, one hundred nine".