1001110009873 has 2 divisors, whose sum is σ = 1001110009874. Its totient is φ = 1001110009872.

The previous prime is 1001110009807. The next prime is 1001110009931. The reversal of 1001110009873 is 3789000111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 985278582544 + 15831427329 = 992612^2 + 125823^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001110009873 - 2²⁵ = 1001076455441 is a prime.

It is a super-2 number, since 2×1001110009873² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001110009573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555004936 + 500555004937.

It is an arithmetic number, because the mean of its divisors is an integer number (500555004937).

Almost surely, 2^{1001110009873} is an apocalyptic number.

It is an amenable number.

1001110009873 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001110009873 is an equidigital number, since it uses as much as digits as its factorization.

1001110009873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 1001110009873 in words is "one trillion, one billion, one hundred ten million, nine thousand, eight hundred seventy-three".