10121112161 has 2 divisors, whose sum is σ = 10121112162. Its totient is φ = 10121112160.

The previous prime is 10121112137. The next prime is 10121112251. The reversal of 10121112161 is 16121112101.

10121112161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6797013136 + 3324099025 = 82444^2 + 57655^2 .

It is an emirp because it is prime and its reverse (16121112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121112161 - 2¹⁸ = 10120850017 is a prime.

It is a super-2 number, since 2×10121112161² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10121112361) 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, 5060556080 + 5060556081.

It is an arithmetic number, because the mean of its divisors is an integer number (5060556081).

Almost surely, 2^10121112161 is an apocalyptic number.

It is an amenable number.

10121112161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121112161 is an equidigital number, since it uses as much as digits as its factorization.

10121112161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 10121112161 its reverse (16121112101), we get a palindrome (26242224262).

The spelling of 10121112161 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand, one hundred sixty-one".