10091019661 has 2 divisors, whose sum is σ = 10091019662. Its totient is φ = 10091019660.

The previous prime is 10091019623. The next prime is 10091019683. The reversal of 10091019661 is 16691019001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10026217161 + 64802500 = 100131^2 + 8050^2 .

It is an emirp because it is prime and its reverse (16691019001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19961016001 and 10061016991.

It is a cyclic number.

It is not a de Polignac number, because 10091019661 - 2¹⁷ = 10090888589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10091019461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045509830 + 5045509831.

It is an arithmetic number, because the mean of its divisors is an integer number (5045509831).

Almost surely, 2^10091019661 is an apocalyptic number.

It is an amenable number.

10091019661 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091019661 is an equidigital number, since it uses as much as digits as its factorization.

10091019661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 34.

The spelling of 10091019661 in words is "ten billion, ninety-one million, nineteen thousand, six hundred sixty-one".