10103312123101 has 2 divisors, whose sum is σ = 10103312123102. Its totient is φ = 10103312123100.

The previous prime is 10103312123057. The next prime is 10103312123123. The reversal of 10103312123101 is 10132121330101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8525962005625 + 1577350117476 = 2919925^2 + 1255926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10103312123101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103312163101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051656061550 + 5051656061551.

It is an arithmetic number, because the mean of its divisors is an integer number (5051656061551).

Almost surely, 2^{10103312123101} is an apocalyptic number.

It is an amenable number.

10103312123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103312123101 is an equidigital number, since it uses as much as digits as its factorization.

10103312123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10103312123101 its reverse (10132121330101), we get a palindrome (20235433453202).

The spelling of 10103312123101 in words is "ten trillion, one hundred three billion, three hundred twelve million, one hundred twenty-three thousand, one hundred one".