110101100110109 has 2 divisors, whose sum is σ = 110101100110110. Its totient is φ = 110101100110108.

The previous prime is 110101100110093. The next prime is 110101100110117. The reversal of 110101100110109 is 901011001101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104566269835225 + 5534830274884 = 10225765^2 + 2352622^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101100110109 - 2⁴ = 110101100110093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101100110129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550055054 + 55050550055055.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550055055).

Almost surely, 2^{110101100110109} is an apocalyptic number.

It is an amenable number.

110101100110109 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101100110109 is an equidigital number, since it uses as much as digits as its factorization.

110101100110109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 110101100110109 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred nine".