110001102111169 has 2 divisors, whose sum is σ = 110001102111170. Its totient is φ = 110001102111168.

The previous prime is 110001102111133. The next prime is 110001102111223. The reversal of 110001102111169 is 961111201100011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109958712654400 + 42389456769 = 10486120^2 + 205887^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001102111169 - 2¹⁵ = 110001102078401 is a prime.

It is a super-2 number, since 2×110001102111169² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110001102117169) 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, 55000551055584 + 55000551055585.

It is an arithmetic number, because the mean of its divisors is an integer number (55000551055585).

Almost surely, 2^{110001102111169} is an apocalyptic number.

It is an amenable number.

110001102111169 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001102111169 is an equidigital number, since it uses as much as digits as its factorization.

110001102111169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 25.

The spelling of 110001102111169 in words is "one hundred ten trillion, one billion, one hundred two million, one hundred eleven thousand, one hundred sixty-nine".