10102512313541 has 2 divisors, whose sum is σ = 10102512313542. Its totient is φ = 10102512313540.

The previous prime is 10102512313529. The next prime is 10102512313549. The reversal of 10102512313541 is 14531321520101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9985941282916 + 116571030625 = 3160054^2 + 341425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102512313541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102512313549) 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, 5051256156770 + 5051256156771.

It is an arithmetic number, because the mean of its divisors is an integer number (5051256156771).

Almost surely, 2^{10102512313541} is an apocalyptic number.

It is an amenable number.

10102512313541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102512313541 is an equidigital number, since it uses as much as digits as its factorization.

10102512313541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 10102512313541 its reverse (14531321520101), we get a palindrome (24633833833642).

The spelling of 10102512313541 in words is "ten trillion, one hundred two billion, five hundred twelve million, three hundred thirteen thousand, five hundred forty-one".