101100110161 has 2 divisors, whose sum is σ = 101100110162. Its totient is φ = 101100110160.

The previous prime is 101100110159. The next prime is 101100110191. The reversal of 101100110161 is 161011001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51673927761 + 49426182400 = 227319^2 + 222320^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100110161 - 2¹ = 101100110159 is a prime.

Together with 101100110159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101100110191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055080 + 50550055081.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055081).

Almost surely, 2^101100110161 is an apocalyptic number.

It is an amenable number.

101100110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100110161 is an equidigital number, since it uses as much as digits as its factorization.

101100110161 is an evil number, because the sum of its binary digits is even.

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

Adding to 101100110161 its reverse (161011001101), we get a palindrome (262111111262).

The spelling of 101100110161 in words is "one hundred one billion, one hundred million, one hundred ten thousand, one hundred sixty-one".