1001000112289 has 2 divisors, whose sum is σ = 1001000112290. Its totient is φ = 1001000112288.

The previous prime is 1001000112271. The next prime is 1001000112347. The reversal of 1001000112289 is 9822110001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 513181678689 + 487818433600 = 716367^2 + 698440^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001000112289 - 2⁹ = 1001000111777 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001000112239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500056144 + 500500056145.

It is an arithmetic number, because the mean of its divisors is an integer number (500500056145).

Almost surely, 2^{1001000112289} is an apocalyptic number.

It is an amenable number.

1001000112289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000112289 is an equidigital number, since it uses as much as digits as its factorization.

1001000112289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 1001000112289 in words is "one trillion, one billion, one hundred twelve thousand, two hundred eighty-nine".