1000100839009 has 2 divisors, whose sum is σ = 1000100839010. Its totient is φ = 1000100839008.

The previous prime is 1000100838937. The next prime is 1000100839019. The reversal of 1000100839009 is 9009380010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 743513001984 + 256587837025 = 862272^2 + 506545^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100839009 - 2⁷ = 1000100838881 is a prime.

It is a super-2 number, since 2×1000100839009² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000100839019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050419504 + 500050419505.

It is an arithmetic number, because the mean of its divisors is an integer number (500050419505).

Almost surely, 2^{1000100839009} is an apocalyptic number.

It is an amenable number.

1000100839009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100839009 is an equidigital number, since it uses as much as digits as its factorization.

1000100839009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 1000100839009 in words is "one trillion, one hundred million, eight hundred thirty-nine thousand, nine".