101066353956577 has 2 divisors, whose sum is σ = 101066353956578. Its totient is φ = 101066353956576.

The previous prime is 101066353956539. The next prime is 101066353956637. The reversal of 101066353956577 is 775659353660101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76666152558241 + 24400201398336 = 8755921^2 + 4939656^2 .

It is an emirp because it is prime and its reverse (775659353660101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101066353956577 is a prime.

It is a super-2 number, since 2×101066353956577² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101066353956527) 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, 50533176978288 + 50533176978289.

It is an arithmetic number, because the mean of its divisors is an integer number (50533176978289).

Almost surely, 2^{101066353956577} is an apocalyptic number.

It is an amenable number.

101066353956577 is a deficient number, since it is larger than the sum of its proper divisors (1).

101066353956577 is an equidigital number, since it uses as much as digits as its factorization.

101066353956577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107163000, while the sum is 64.

The spelling of 101066353956577 in words is "one hundred one trillion, sixty-six billion, three hundred fifty-three million, nine hundred fifty-six thousand, five hundred seventy-seven".