100001123009 has 2 divisors, whose sum is σ = 100001123010. Its totient is φ = 100001123008.

The previous prime is 100001122993. The next prime is 100001123011. The reversal of 100001123009 is 900321100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99871800625 + 129322384 = 316025^2 + 11372^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001123009 - 2⁴ = 100001122993 is a prime.

It is a super-2 number, since 2×100001123009² (a number of 23 digits) contains 22 as substring.

Together with 100001123011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100001123809) 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, 50000561504 + 50000561505.

It is an arithmetic number, because the mean of its divisors is an integer number (50000561505).

Almost surely, 2^100001123009 is an apocalyptic number.

It is an amenable number.

100001123009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001123009 is an equidigital number, since it uses as much as digits as its factorization.

100001123009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 100001123009 in words is "one hundred billion, one million, one hundred twenty-three thousand, nine".