10501013821673 has 2 divisors, whose sum is σ = 10501013821674. Its totient is φ = 10501013821672.

The previous prime is 10501013821651. The next prime is 10501013821691. The reversal of 10501013821673 is 37612831010501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9405918546649 + 1095095275024 = 3066907^2 + 1046468^2 .

It is a cyclic number.

It is not a de Polignac number, because 10501013821673 - 2¹⁶ = 10501013756137 is a prime.

It is a super-2 number, since 2×10501013821673² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10501013821693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250506910836 + 5250506910837.

It is an arithmetic number, because the mean of its divisors is an integer number (5250506910837).

Almost surely, 2^{10501013821673} is an apocalyptic number.

It is an amenable number.

10501013821673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10501013821673 is an equidigital number, since it uses as much as digits as its factorization.

10501013821673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 10501013821673 in words is "ten trillion, five hundred one billion, thirteen million, eight hundred twenty-one thousand, six hundred seventy-three".