10102102331 has 2 divisors, whose sum is σ = 10102102332. Its totient is φ = 10102102330.

The previous prime is 10102102319. The next prime is 10102102333. The reversal of 10102102331 is 13320120101.

10102102331 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 is an emirp because it is prime and its reverse (13320120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102102331 - 2²² = 10097908027 is a prime.

It is a super-2 number, since 2×10102102331² (a number of 21 digits) contains 22 as substring.

Together with 10102102333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10102102333) 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, 5051051165 + 5051051166.

It is an arithmetic number, because the mean of its divisors is an integer number (5051051166).

Almost surely, 2^10102102331 is an apocalyptic number.

10102102331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102102331 is an equidigital number, since it uses as much as digits as its factorization.

10102102331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10102102331 its reverse (13320120101), we get a palindrome (23422222432).

The spelling of 10102102331 in words is "ten billion, one hundred two million, one hundred two thousand, three hundred thirty-one".