100722517133873 has 2 divisors, whose sum is σ = 100722517133874. Its totient is φ = 100722517133872.

The previous prime is 100722517133851. The next prime is 100722517133879. The reversal of 100722517133873 is 378331715227001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50772579238144 + 49949937895729 = 7125488^2 + 7067527^2 .

It is a cyclic number.

It is not a de Polignac number, because 100722517133873 - 2¹⁰ = 100722517132849 is a prime.

It is not a weakly prime, because it can be changed into another prime (100722517133879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50361258566936 + 50361258566937.

It is an arithmetic number, because the mean of its divisors is an integer number (50361258566937).

Almost surely, 2^{100722517133873} is an apocalyptic number.

It is an amenable number.

100722517133873 is a deficient number, since it is larger than the sum of its proper divisors (1).

100722517133873 is an equidigital number, since it uses as much as digits as its factorization.

100722517133873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 100722517133873 in words is "one hundred trillion, seven hundred twenty-two billion, five hundred seventeen million, one hundred thirty-three thousand, eight hundred seventy-three".