10010561089 has 2 divisors, whose sum is σ = 10010561090. Its totient is φ = 10010561088.

The previous prime is 10010561087. The next prime is 10010561123. The reversal of 10010561089 is 98016501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8893998864 + 1116562225 = 94308^2 + 33415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010561089 - 2¹ = 10010561087 is a prime.

It is a super-2 number, since 2×10010561089² (a number of 21 digits) contains 22 as substring.

Together with 10010561087, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10010561089.

It is not a weakly prime, because it can be changed into another prime (10010561081) 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, 5005280544 + 5005280545.

It is an arithmetic number, because the mean of its divisors is an integer number (5005280545).

Almost surely, 2^10010561089 is an apocalyptic number.

It is an amenable number.

10010561089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010561089 is an equidigital number, since it uses as much as digits as its factorization.

10010561089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 31.

The spelling of 10010561089 in words is "ten billion, ten million, five hundred sixty-one thousand, eighty-nine".