103612121 has 2 divisors, whose sum is σ = 103612122. Its totient is φ = 103612120.

The previous prime is 103612097. The next prime is 103612139. The reversal of 103612121 is 121216301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72931600 + 30680521 = 8540^2 + 5539^2 .

It is a cyclic number.

It is not a de Polignac number, because 103612121 - 2¹⁸ = 103349977 is a prime.

It is a super-3 number, since 3×103612121³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 103612121.

It is not a weakly prime, because it can be changed into another prime (103612151) 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, 51806060 + 51806061.

It is an arithmetic number, because the mean of its divisors is an integer number (51806061).

Almost surely, 2^103612121 is an apocalyptic number.

It is an amenable number.

103612121 is a deficient number, since it is larger than the sum of its proper divisors (1).

103612121 is an equidigital number, since it uses as much as digits as its factorization.

103612121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 103612121 is about 10179.0039296583. The cubic root of 103612121 is about 469.6815724518.

Adding to 103612121 its reverse (121216301), we get a palindrome (224828422).

The spelling of 103612121 in words is "one hundred three million, six hundred twelve thousand, one hundred twenty-one".