1010111011009 has 2 divisors, whose sum is σ = 1010111011010. Its totient is φ = 1010111011008.

The previous prime is 1010111010919. The next prime is 1010111011027. The reversal of 1010111011009 is 9001101110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 645419424400 + 364691586609 = 803380^2 + 603897^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010111011009 - 2¹¹ = 1010111008961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010111010983 and 1010111011001.

It is not a weakly prime, because it can be changed into another prime (1010111011099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055505504 + 505055505505.

It is an arithmetic number, because the mean of its divisors is an integer number (505055505505).

Almost surely, 2^{1010111011009} is an apocalyptic number.

It is an amenable number.

1010111011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111011009 is an equidigital number, since it uses as much as digits as its factorization.

1010111011009 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 1010111011009 in words is "one trillion, ten billion, one hundred eleven million, eleven thousand, nine".