10103312123123 has 2 divisors, whose sum is σ = 10103312123124. Its totient is φ = 10103312123122.

The previous prime is 10103312123101. The next prime is 10103312123137. The reversal of 10103312123123 is 32132121330101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10103312123123 is a prime.

It is a super-2 number, since 2×10103312123123² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (10103312123923) 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, 5051656061561 + 5051656061562.

It is an arithmetic number, because the mean of its divisors is an integer number (5051656061562).

Almost surely, 2^{10103312123123} is an apocalyptic number.

10103312123123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103312123123 is an equidigital number, since it uses as much as digits as its factorization.

10103312123123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10103312123123 its reverse (32132121330101), we get a palindrome (42235433453224).

The spelling of 10103312123123 in words is "ten trillion, one hundred three billion, three hundred twelve million, one hundred twenty-three thousand, one hundred twenty-three".