10010001000089 has 2 divisors, whose sum is σ = 10010001000090. Its totient is φ = 10010001000088.

The previous prime is 10010001000059. The next prime is 10010001000107. The reversal of 10010001000089 is 98000010001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9926803366489 + 83197633600 = 3150683^2 + 288440^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010001000089 - 2⁸ = 10010000999833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010001000089.

It is not a weakly prime, because it can be changed into another prime (10010001000059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000500044 + 5005000500045.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000500045).

Almost surely, 2^{10010001000089} is an apocalyptic number.

It is an amenable number.

10010001000089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010001000089 is an equidigital number, since it uses as much as digits as its factorization.

10010001000089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10010001000089 in words is "ten trillion, ten billion, one million, eighty-nine", and thus it is an aban number and an uban number.