100111100000123 has 2 divisors, whose sum is σ = 100111100000124. Its totient is φ = 100111100000122.

The previous prime is 100111100000101. The next prime is 100111100000221. The reversal of 100111100000123 is 321000001111001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100111100000123 - 2³⁰ = 100110026258299 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111100000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550000061 + 50055550000062.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550000062).

Almost surely, 2^{100111100000123} is an apocalyptic number.

100111100000123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100000123 is an equidigital number, since it uses as much as digits as its factorization.

100111100000123 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 11.

Adding to 100111100000123 its reverse (321000001111001), we get a palindrome (421111101111124).

The spelling of 100111100000123 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred twenty-three", and thus it is an aban number.