100001011100009 has 2 divisors, whose sum is σ = 100001011100010. Its totient is φ = 100001011100008.

The previous prime is 100001011099991. The next prime is 100001011100069. The reversal of 100001011100009 is 900001110100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70991207194384 + 29009803905625 = 8425628^2 + 5386075^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001011100009 - 2⁴⁰ = 98901499472233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001011099966 and 100001011100002.

It is not a weakly prime, because it can be changed into another prime (100001011100069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000505550004 + 50000505550005.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505550005).

Almost surely, 2^{100001011100009} is an apocalyptic number.

It is an amenable number.

100001011100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001011100009 is an equidigital number, since it uses as much as digits as its factorization.

100001011100009 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 14.

The spelling of 100001011100009 in words is "one hundred trillion, one billion, eleven million, one hundred thousand, nine".