101066750272601 has 2 divisors, whose sum is σ = 101066750272602. Its totient is φ = 101066750272600.

The previous prime is 101066750272591. The next prime is 101066750272603. The reversal of 101066750272601 is 106272057660101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95781924006976 + 5284826265625 = 9786824^2 + 2298875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101066750272601 is a prime.

It is a super-2 number, since 2×101066750272601² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 101066750272603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101066750272603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50533375136300 + 50533375136301.

It is an arithmetic number, because the mean of its divisors is an integer number (50533375136301).

Almost surely, 2^{101066750272601} is an apocalyptic number.

It is an amenable number.

101066750272601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101066750272601 is an equidigital number, since it uses as much as digits as its factorization.

101066750272601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 101066750272601 in words is "one hundred one trillion, sixty-six billion, seven hundred fifty million, two hundred seventy-two thousand, six hundred one".