100111111011169 has 2 divisors, whose sum is σ = 100111111011170. Its totient is φ = 100111111011168.

The previous prime is 100111111011083. The next prime is 100111111011199. The reversal of 100111111011169 is 961110111111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99378568454400 + 732542556769 = 9968880^2 + 855887^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111111011169 - 2⁹ = 100111111010657 is a prime.

It is a super-3 number, since 3×100111111011169³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100111111011199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055555505584 + 50055555505585.

It is an arithmetic number, because the mean of its divisors is an integer number (50055555505585).

Almost surely, 2^{100111111011169} is an apocalyptic number.

It is an amenable number.

100111111011169 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111111011169 is an equidigital number, since it uses as much as digits as its factorization.

100111111011169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 25.

The spelling of 100111111011169 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, eleven thousand, one hundred sixty-nine".