1001011001009 has 2 divisors, whose sum is σ = 1001011001010. Its totient is φ = 1001011001008.

The previous prime is 1001011000999. The next prime is 1001011001017. The reversal of 1001011001009 is 9001001101001.

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., 774449280784 + 226561720225 = 880028^2 + 475985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001011001009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001011000984 and 1001011001002.

It is not a weakly prime, because it can be changed into another prime (1001011001209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505500504 + 500505500505.

It is an arithmetic number, because the mean of its divisors is an integer number (500505500505).

Almost surely, 2^{1001011001009} is an apocalyptic number.

It is an amenable number.

1001011001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011001009 is an equidigital number, since it uses as much as digits as its factorization.

1001011001009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 1001011001009 in words is "one trillion, one billion, eleven million, one thousand, nine".