110164121 has 2 divisors, whose sum is σ = 110164122. Its totient is φ = 110164120.

The previous prime is 110164079. The next prime is 110164123. The reversal of 110164121 is 121461011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102738496 + 7425625 = 10136^2 + 2725^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110164121 is a prime.

It is a super-2 number, since 2×110164121² = 24272267111405282, which contains 22 as substring.

Together with 110164123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110164121.

It is not a weakly prime, because it can be changed into another prime (110164123) 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, 55082060 + 55082061.

It is an arithmetic number, because the mean of its divisors is an integer number (55082061).

Almost surely, 2^110164121 is an apocalyptic number.

It is an amenable number.

110164121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110164121 is an equidigital number, since it uses as much as digits as its factorization.

110164121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 110164121 is about 10495.9097271270. The cubic root of 110164121 is about 479.3801620246.

The spelling of 110164121 in words is "one hundred ten million, one hundred sixty-four thousand, one hundred twenty-one".