1010011001089 has 2 divisors, whose sum is σ = 1010011001090. Its totient is φ = 1010011001088.

The previous prime is 1010011001071. The next prime is 1010011001107. The reversal of 1010011001089 is 9801001100101.

It is a balanced prime because it is at equal distance from previous prime (1010011001071) and next prime (1010011001107).

It can be written as a sum of positive squares in only one way, i.e., 987306538689 + 22704462400 = 993633^2 + 150680^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010011001089 - 2⁹ = 1010011000577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010011001029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005500544 + 505005500545.

It is an arithmetic number, because the mean of its divisors is an integer number (505005500545).

Almost surely, 2^{1010011001089} is an apocalyptic number.

It is an amenable number.

1010011001089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010011001089 is an equidigital number, since it uses as much as digits as its factorization.

1010011001089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 1010011001089 in words is "one trillion, ten billion, eleven million, one thousand, eighty-nine".