110011121110109 has 2 divisors, whose sum is σ = 110011121110110. Its totient is φ = 110011121110108.

The previous prime is 110011121110061. The next prime is 110011121110133. The reversal of 110011121110109 is 901011121110011.

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., 86052005122084 + 23959115988025 = 9276422^2 + 4894805^2 .

It is an emirp because it is prime and its reverse (901011121110011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110011121110109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110011121110159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005560555054 + 55005560555055.

It is an arithmetic number, because the mean of its divisors is an integer number (55005560555055).

Almost surely, 2^{110011121110109} is an apocalyptic number.

It is an amenable number.

110011121110109 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011121110109 is an equidigital number, since it uses as much as digits as its factorization.

110011121110109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 20.

The spelling of 110011121110109 in words is "one hundred ten trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred nine".