101101605161 has 2 divisors, whose sum is σ = 101101605162. Its totient is φ = 101101605160.

The previous prime is 101101605151. The next prime is 101101605167. The reversal of 101101605161 is 161506101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72768299536 + 28333305625 = 269756^2 + 168325^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101605161 - 2¹⁸ = 101101343017 is a prime.

It is a super-3 number, since 3×101101605161³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101101605167) 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, 50550802580 + 50550802581.

It is an arithmetic number, because the mean of its divisors is an integer number (50550802581).

Almost surely, 2^101101605161 is an apocalyptic number.

It is an amenable number.

101101605161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101605161 is an equidigital number, since it uses as much as digits as its factorization.

101101605161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 23.

Adding to 101101605161 its reverse (161506101101), we get a palindrome (262607706262).

The spelling of 101101605161 in words is "one hundred one billion, one hundred one million, six hundred five thousand, one hundred sixty-one".