12114101 has 2 divisors, whose sum is σ = 12114102. Its totient is φ = 12114100.

The previous prime is 12114079. The next prime is 12114103. The reversal of 12114101 is 10141121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10080625 + 2033476 = 3175^2 + 1426^2 .

It is an emirp because it is prime and its reverse (10141121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12114101 is a prime.

It is a super-3 number, since 3×12114101³ (a number of 22 digits) contains 333 as substring.

Together with 12114103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12114103) 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, 6057050 + 6057051.

It is an arithmetic number, because the mean of its divisors is an integer number (6057051).

Almost surely, 2^12114101 is an apocalyptic number.

It is an amenable number.

12114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12114101 is an equidigital number, since it uses as much as digits as its factorization.

12114101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 12114101 is about 3480.5317122532. The cubic root of 12114101 is about 229.6661887241. Note that the first 3 decimals are identical.

Adding to 12114101 its reverse (10141121), we get a palindrome (22255222).

The spelling of 12114101 in words is "twelve million, one hundred fourteen thousand, one hundred one".