1011011111009 has 2 divisors, whose sum is σ = 1011011111010. Its totient is φ = 1011011111008.

The previous prime is 1011011110913. The next prime is 1011011111087. The reversal of 1011011111009 is 9001111101101.

1011011111009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 856046851984 + 154964259025 = 925228^2 + 393655^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011011111009 - 2¹² = 1011011106913 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011011111309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505555504 + 505505555505.

It is an arithmetic number, because the mean of its divisors is an integer number (505505555505).

Almost surely, 2^{1011011111009} is an apocalyptic number.

It is an amenable number.

1011011111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011111009 is an equidigital number, since it uses as much as digits as its factorization.

1011011111009 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 17.

The spelling of 1011011111009 in words is "one trillion, eleven billion, eleven million, one hundred eleven thousand, nine".