100123322313103 has 2 divisors, whose sum is σ = 100123322313104. Its totient is φ = 100123322313102.

The previous prime is 100123322313089. The next prime is 100123322313109. The reversal of 100123322313103 is 301313223321001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100123322313103 - 2⁴⁵ = 64938950224271 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100123322313109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061661156551 + 50061661156552.

It is an arithmetic number, because the mean of its divisors is an integer number (50061661156552).

Almost surely, 2^{100123322313103} is an apocalyptic number.

100123322313103 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123322313103 is an equidigital number, since it uses as much as digits as its factorization.

100123322313103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 100123322313103 its reverse (301313223321001), we get a palindrome (401436545634104).

The spelling of 100123322313103 in words is "one hundred trillion, one hundred twenty-three billion, three hundred twenty-two million, three hundred thirteen thousand, one hundred three".