10123101161 has 2 divisors, whose sum is σ = 10123101162. Its totient is φ = 10123101160.

The previous prime is 10123101139. The next prime is 10123101179. The reversal of 10123101161 is 16110132101.

10123101161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6329157136 + 3793944025 = 79556^2 + 61595^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10123101161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10123101361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061550580 + 5061550581.

It is an arithmetic number, because the mean of its divisors is an integer number (5061550581).

Almost surely, 2^10123101161 is an apocalyptic number.

It is an amenable number.

10123101161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123101161 is an equidigital number, since it uses as much as digits as its factorization.

10123101161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10123101161 its reverse (16110132101), we get a palindrome (26233233262).

The spelling of 10123101161 in words is "ten billion, one hundred twenty-three million, one hundred one thousand, one hundred sixty-one".