100001110100009 has 4 divisors (see below), whose sum is σ = 105883528341204. Its totient is φ = 94118691858816.

The previous prime is 100001110099967. The next prime is 100001110100051. The reversal of 100001110100009 is 900001011100001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (100001110099967) and next prime (100001110100051).

It can be written as a sum of positive squares in 2 ways, for example, as 85335618601984 + 14665491498025 = 9237728^2 + 3829555^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001110100009 - 2⁸ = 100001110099753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001110099966 and 100001110100002.

It is not an unprimeable number, because it can be changed into a prime (100001110100069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2941209120572 + ... + 2941209120605.

It is an arithmetic number, because the mean of its divisors is an integer number (26470882085301).

Almost surely, 2^{100001110100009} is an apocalyptic number.

It is an amenable number.

100001110100009 is a deficient number, since it is larger than the sum of its proper divisors (5882418241195).

100001110100009 is an equidigital number, since it uses as much as digits as its factorization.

100001110100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882418241194.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 100001110100009 in words is "one hundred trillion, one billion, one hundred ten million, one hundred thousand, nine".