100110113123 has 2 divisors, whose sum is σ = 100110113124. Its totient is φ = 100110113122.

The previous prime is 100110113107. The next prime is 100110113153. The reversal of 100110113123 is 321311011001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100110113123 - 2⁴ = 100110113107 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110113098 and 100110113107.

It is not a weakly prime, because it can be changed into another prime (100110113153) 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, 50055056561 + 50055056562.

It is an arithmetic number, because the mean of its divisors is an integer number (50055056562).

Almost surely, 2^100110113123 is an apocalyptic number.

100110113123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110113123 is an equidigital number, since it uses as much as digits as its factorization.

100110113123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100110113123 its reverse (321311011001), we get a palindrome (421421124124).

The spelling of 100110113123 in words is "one hundred billion, one hundred ten million, one hundred thirteen thousand, one hundred twenty-three".