1101101010109 has 2 divisors, whose sum is σ = 1101101010110. Its totient is φ = 1101101010108.

The previous prime is 1101101010071. The next prime is 1101101010127. The reversal of 1101101010109 is 9010101011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1025257502500 + 75843507609 = 1012550^2 + 275397^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101101010109 - 2¹⁵ = 1101100977341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101101010092 and 1101101010101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101101010199) 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, 550550505054 + 550550505055.

It is an arithmetic number, because the mean of its divisors is an integer number (550550505055).

Almost surely, 2^{1101101010109} is an apocalyptic number.

It is an amenable number.

1101101010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101101010109 is an equidigital number, since it uses as much as digits as its factorization.

1101101010109 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 16.

The spelling of 1101101010109 in words is "one trillion, one hundred one billion, one hundred one million, ten thousand, one hundred nine".