123121 has 2 divisors, whose sum is σ = 123122. Its totient is φ = 123120.

The previous prime is 123113. The next prime is 123127. The reversal of 123121 is 121321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 4096 = 345^2 + 64^2 .

It is an emirp because it is prime and its reverse (121321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123121 - 2³ = 123113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123098 and 123107.

It is not a weakly prime, because it can be changed into another prime (123127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560 + 61561.

It is an arithmetic number, because the mean of its divisors is an integer number (61561).

2¹²³¹²¹ is an apocalyptic number.

It is an amenable number.

123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121 is an equidigital number, since it uses as much as digits as its factorization.

123121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12, while the sum is 10.

The square root of 123121 is about 350.8860213802. The cubic root of 123121 is about 49.7482007379.

Adding to 123121 its reverse (121321), we get a palindrome (244442).

The spelling of 123121 in words is "one hundred twenty-three thousand, one hundred twenty-one", and thus it is an iban number.