111100510601009 has 2 divisors, whose sum is σ = 111100510601010. Its totient is φ = 111100510601008.

The previous prime is 111100510600993. The next prime is 111100510601011. The reversal of 111100510601009 is 900106015001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79045346655025 + 32055163945984 = 8890745^2 + 5661728^2 .

It is an emirp because it is prime and its reverse (900106015001111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111100510601009 - 2⁴ = 111100510600993 is a prime.

It is a Sophie Germain prime.

Together with 111100510601011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (111100510601099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550255300504 + 55550255300505.

It is an arithmetic number, because the mean of its divisors is an integer number (55550255300505).

Almost surely, 2^{111100510601009} is an apocalyptic number.

It is an amenable number.

111100510601009 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100510601009 is an equidigital number, since it uses as much as digits as its factorization.

111100510601009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 26.

The spelling of 111100510601009 in words is "one hundred eleven trillion, one hundred billion, five hundred ten million, six hundred one thousand, nine".