10102114241 has 2 divisors, whose sum is σ = 10102114242. Its totient is φ = 10102114240.

The previous prime is 10102114213. The next prime is 10102114261. The reversal of 10102114241 is 14241120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6323430400 + 3778683841 = 79520^2 + 61471^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102114241 - 2²⁶ = 10035005377 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102114201) 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, 5051057120 + 5051057121.

It is an arithmetic number, because the mean of its divisors is an integer number (5051057121).

Almost surely, 2^10102114241 is an apocalyptic number.

It is an amenable number.

10102114241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102114241 is an equidigital number, since it uses as much as digits as its factorization.

10102114241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10102114241 its reverse (14241120101), we get a palindrome (24343234342).

The spelling of 10102114241 in words is "ten billion, one hundred two million, one hundred fourteen thousand, two hundred forty-one".