10121120161 has 2 divisors, whose sum is σ = 10121120162. Its totient is φ = 10121120160.

The previous prime is 10121120069. The next prime is 10121120173. The reversal of 10121120161 is 16102112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8222862400 + 1898257761 = 90680^2 + 43569^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121120161 - 2⁹ = 10121119649 is a prime.

It is a super-3 number, since 3×10121120161³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10121120861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060560080 + 5060560081.

It is an arithmetic number, because the mean of its divisors is an integer number (5060560081).

Almost surely, 2^10121120161 is an apocalyptic number.

It is an amenable number.

10121120161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121120161 is an equidigital number, since it uses as much as digits as its factorization.

10121120161 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 16.

Adding to 10121120161 its reverse (16102112101), we get a palindrome (26223232262).

The spelling of 10121120161 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, one hundred sixty-one".