110000100010109 has 2 divisors, whose sum is σ = 110000100010110. Its totient is φ = 110000100010108.

The previous prime is 110000100010061. The next prime is 110000100010147. The reversal of 110000100010109 is 901010001000011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98044950115225 + 11955149894884 = 9901765^2 + 3457622^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000100010109 - 2³² = 109995805042813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110000100010093 and 110000100010102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000100010189) 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 as a sum of consecutive naturals, namely, 55000050005054 + 55000050005055.

It is an arithmetic number, because the mean of its divisors is an integer number (55000050005055).

Almost surely, 2^{110000100010109} is an apocalyptic number.

It is an amenable number.

110000100010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000100010109 is an equidigital number, since it uses as much as digits as its factorization.

110000100010109 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 14.

The spelling of 110000100010109 in words is "one hundred ten trillion, one hundred million, ten thousand, one hundred nine".