111101101111009 has 2 divisors, whose sum is σ = 111101101111010. Its totient is φ = 111101101111008.

The previous prime is 111101101110973. The next prime is 111101101111027. The reversal of 111101101111009 is 900111101101111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89328583904400 + 21772517206609 = 9451380^2 + 4666103^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101101111009 - 2¹⁷ = 111101100979937 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101101114009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550550555504 + 55550550555505.

It is an arithmetic number, because the mean of its divisors is an integer number (55550550555505).

Almost surely, 2^{111101101111009} is an apocalyptic number.

It is an amenable number.

111101101111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101101111009 is an equidigital number, since it uses as much as digits as its factorization.

111101101111009 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 19.

The spelling of 111101101111009 in words is "one hundred eleven trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, nine".