100111110011123 has 2 divisors, whose sum is σ = 100111110011124. Its totient is φ = 100111110011122.

The previous prime is 100111110011057. The next prime is 100111110011131. The reversal of 100111110011123 is 321110011111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111110011123 - 2¹⁰ = 100111110010099 is a prime.

It is a super-2 number, since 2×100111110011123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100111110011098 and 100111110011107.

It is not a weakly prime, because it can be changed into another prime (100111110011923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055555005561 + 50055555005562.

It is an arithmetic number, because the mean of its divisors is an integer number (50055555005562).

Almost surely, 2^{100111110011123} is an apocalyptic number.

100111110011123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111110011123 is an equidigital number, since it uses as much as digits as its factorization.

100111110011123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 100111110011123 its reverse (321110011111001), we get a palindrome (421221121122124).

The spelling of 100111110011123 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, eleven thousand, one hundred twenty-three".