1110101100109 has 2 divisors, whose sum is σ = 1110101100110. Its totient is φ = 1110101100108.

The previous prime is 1110101100103. The next prime is 1110101100113. The reversal of 1110101100109 is 9010011010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1103613280900 + 6487819209 = 1050530^2 + 80547^2 .

It is an emirp because it is prime and its reverse (9010011010111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1110101100109 - 2¹⁷ = 1110100969037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110101100092 and 1110101100101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1110101100103) 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, 555050550054 + 555050550055.

It is an arithmetic number, because the mean of its divisors is an integer number (555050550055).

Almost surely, 2^{1110101100109} is an apocalyptic number.

It is an amenable number.

1110101100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110101100109 is an equidigital number, since it uses as much as digits as its factorization.

1110101100109 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 1110101100109 in words is "one trillion, one hundred ten billion, one hundred one million, one hundred thousand, one hundred nine".