1000010011001 has 2 divisors, whose sum is σ = 1000010011002. Its totient is φ = 1000010011000.

The previous prime is 1000010010997. The next prime is 1000010011027. The reversal of 1000010011001 is 1001100100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 983466906601 + 16543104400 = 991699^2 + 128620^2 .

It is an emirp because it is prime and its reverse (1001100100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000010011001 - 2² = 1000010010997 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000010011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005005500 + 500005005501.

It is an arithmetic number, because the mean of its divisors is an integer number (500005005501).

Almost surely, 2^{1000010011001} is an apocalyptic number.

It is an amenable number.

1000010011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010011001 is an equidigital number, since it uses as much as digits as its factorization.

1000010011001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1000010011001 its reverse (1001100100001), we get a palindrome (2001110111002).

The spelling of 1000010011001 in words is "one trillion, ten million, eleven thousand, one".