165112121 has 2 divisors, whose sum is σ = 165112122. Its totient is φ = 165112120.

The previous prime is 165112111. The next prime is 165112127. The reversal of 165112121 is 121211561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147379600 + 17732521 = 12140^2 + 4211^2 .

It is a cyclic number.

It is not a de Polignac number, because 165112121 - 2¹⁰ = 165111097 is a prime.

It is a super-2 number, since 2×165112121² = 54524025002237282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165112093 and 165112102.

It is not a weakly prime, because it can be changed into another prime (165112127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82556060 + 82556061.

It is an arithmetic number, because the mean of its divisors is an integer number (82556061).

Almost surely, 2^165112121 is an apocalyptic number.

It is an amenable number.

165112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

165112121 is an equidigital number, since it uses as much as digits as its factorization.

165112121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 20.

The square root of 165112121 is about 12849.5961415136. The cubic root of 165112121 is about 548.6048618604.

Adding to 165112121 its reverse (121211561), we get a palindrome (286323682).

It can be divided in two parts, 16 and 5112121, that multiplied together give a square (81793936 = 9044²).

The spelling of 165112121 in words is "one hundred sixty-five million, one hundred twelve thousand, one hundred twenty-one".