10010000100109 has 2 divisors, whose sum is σ = 10010000100110. Its totient is φ = 10010000100108.

The previous prime is 10010000100103. The next prime is 10010000100131. The reversal of 10010000100109 is 90100100001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6512688688009 + 3497311412100 = 2551997^2 + 1870110^2 .

It is an emirp because it is prime and its reverse (90100100001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010000100109 - 2⁵ = 10010000100077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010000100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000050054 + 5005000050055.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000050055).

Almost surely, 2^{10010000100109} is an apocalyptic number.

It is an amenable number.

10010000100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010000100109 is an equidigital number, since it uses as much as digits as its factorization.

10010000100109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 10010000100109 in words is "ten trillion, ten billion, one hundred thousand, one hundred nine".