10100164849 has 2 divisors, whose sum is σ = 10100164850. Its totient is φ = 10100164848.

The previous prime is 10100164829. The next prime is 10100164861. The reversal of 10100164849 is 94846100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6025640625 + 4074524224 = 77625^2 + 63832^2 .

It is an emirp because it is prime and its reverse (94846100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100164849 - 2⁵ = 10100164817 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100164829) 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, 5050082424 + 5050082425.

It is an arithmetic number, because the mean of its divisors is an integer number (5050082425).

Almost surely, 2^10100164849 is an apocalyptic number.

It is an amenable number.

10100164849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100164849 is an equidigital number, since it uses as much as digits as its factorization.

10100164849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 10100164849 in words is "ten billion, one hundred million, one hundred sixty-four thousand, eight hundred forty-nine".