101110110161 has 2 divisors, whose sum is σ = 101110110162. Its totient is φ = 101110110160.

The previous prime is 101110110139. The next prime is 101110110169. The reversal of 101110110161 is 161011011101.

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., 91479631936 + 9630478225 = 302456^2 + 98135^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110110161 - 2⁶ = 101110110097 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110110169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055080 + 50555055081.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055081).

Almost surely, 2^101110110161 is an apocalyptic number.

It is an amenable number.

101110110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110110161 is an equidigital number, since it uses as much as digits as its factorization.

101110110161 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 14.

Adding to 101110110161 its reverse (161011011101), we get a palindrome (262121121262).

The spelling of 101110110161 in words is "one hundred one billion, one hundred ten million, one hundred ten thousand, one hundred sixty-one".