12735101 has 2 divisors, whose sum is σ = 12735102. Its totient is φ = 12735100.

The previous prime is 12735083. The next prime is 12735113. The reversal of 12735101 is 10153721.

12735101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7695076 + 5040025 = 2774^2 + 2245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12735101 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12735131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6367550 + 6367551.

It is an arithmetic number, because the mean of its divisors is an integer number (6367551).

Almost surely, 2^12735101 is an apocalyptic number.

It is an amenable number.

12735101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12735101 is an equidigital number, since it uses as much as digits as its factorization.

12735101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 12735101 is about 3568.6273271385. The cubic root of 12735101 is about 233.5254035305.

Adding to 12735101 its reverse (10153721), we get a palindrome (22888822).

The spelling of 12735101 in words is "twelve million, seven hundred thirty-five thousand, one hundred one".