110101011100009 has 2 divisors, whose sum is σ = 110101011100010. Its totient is φ = 110101011100008.

The previous prime is 110101011099983. The next prime is 110101011100027. The reversal of 110101011100009 is 900001110101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98176786896400 + 11924224203609 = 9908420^2 + 3453147^2 .

It is an emirp because it is prime and its reverse (900001110101011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110101011100009 - 2²¹ = 110101009002857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101011099965 and 110101011100001.

It is not a weakly prime, because it can be changed into another prime (110101011100049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050505550004 + 55050505550005.

It is an arithmetic number, because the mean of its divisors is an integer number (55050505550005).

Almost surely, 2^{110101011100009} is an apocalyptic number.

It is an amenable number.

110101011100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101011100009 is an equidigital number, since it uses as much as digits as its factorization.

110101011100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 110101011100009 in words is "one hundred ten trillion, one hundred one billion, eleven million, one hundred thousand, nine".