1000110001001 has 2 divisors, whose sum is σ = 1000110001002. Its totient is φ = 1000110001000.

The previous prime is 1000110000979. The next prime is 1000110001021. The reversal of 1000110001001 is 1001000110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 912789160000 + 87320841001 = 955400^2 + 295501^2 .

It is an emirp because it is prime and its reverse (1001000110001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000110001001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1000110001021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055000500 + 500055000501.

It is an arithmetic number, because the mean of its divisors is an integer number (500055000501).

Almost surely, 2^{1000110001001} is an apocalyptic number.

It is an amenable number.

1000110001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110001001 is an equidigital number, since it uses as much as digits as its factorization.

1000110001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000110001001 its reverse (1001000110001), we get a palindrome (2001110111002).

The spelling of 1000110001001 in words is "one trillion, one hundred ten million, one thousand, one".