110010111200209 has 24 divisors (see below), whose sum is σ = 128773234575720. Its totient is φ = 93582215400960.

The previous prime is 110010111200167. The next prime is 110010111200221. The reversal of 110010111200209 is 902002111010011.

It can be written as a sum of positive squares in 4 ways, for example, as 89565497849025 + 20444613351184 = 9463905^2 + 4521572^2 .

It is not a de Polignac number, because 110010111200209 - 2³⁷ = 109872672246737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110010111200299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154213074 + ... + 154924795.

It is an arithmetic number, because the mean of its divisors is an integer number (5365551440655).

Almost surely, 2^{110010111200209} is an apocalyptic number.

It is an amenable number.

110010111200209 is a deficient number, since it is larger than the sum of its proper divisors (18763123375511).

110010111200209 is a wasteful number, since it uses less digits than its factorization.

110010111200209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309138081 (or 309138070 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 110010111200209 in words is "one hundred ten trillion, ten billion, one hundred eleven million, two hundred thousand, two hundred nine".