10101110161 has 2 divisors, whose sum is σ = 10101110162. Its totient is φ = 10101110160.

The previous prime is 10101110093. The next prime is 10101110189. The reversal of 10101110161 is 16101110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8024576400 + 2076533761 = 89580^2 + 45569^2 .

It is an emirp because it is prime and its reverse (16101110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101110161 - 2²¹ = 10099013009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101110861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555080 + 5050555081.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555081).

Almost surely, 2^10101110161 is an apocalyptic number.

It is an amenable number.

10101110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101110161 is an equidigital number, since it uses as much as digits as its factorization.

10101110161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10101110161 its reverse (16101110101), we get a palindrome (26202220262).

The spelling of 10101110161 in words is "ten billion, one hundred one million, one hundred ten thousand, one hundred sixty-one".