1001021001089 has 2 divisors, whose sum is σ = 1001021001090. Its totient is φ = 1001021001088.

The previous prime is 1001021001059. The next prime is 1001021001109. The reversal of 1001021001089 is 9801001201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 788707400464 + 212313600625 = 888092^2 + 460775^2 .

It is an emirp because it is prime and its reverse (9801001201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001021001089 - 2²⁴ = 1001004223873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001021001059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500510500544 + 500510500545.

It is an arithmetic number, because the mean of its divisors is an integer number (500510500545).

Almost surely, 2^{1001021001089} is an apocalyptic number.

It is an amenable number.

1001021001089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001021001089 is an equidigital number, since it uses as much as digits as its factorization.

1001021001089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 1001021001089 in words is "one trillion, one billion, twenty-one million, one thousand, eighty-nine".