110000110121009 has 2 divisors, whose sum is σ = 110000110121010. Its totient is φ = 110000110121008.

The previous prime is 110000110120997. The next prime is 110000110121023. The reversal of 110000110121009 is 900121011000011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94166451523600 + 15833658597409 = 9703940^2 + 3979153^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000110121009 - 2⁴ = 110000110120993 is a prime.

It is not a weakly prime, because it can be changed into another prime (110000110121309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000055060504 + 55000055060505.

It is an arithmetic number, because the mean of its divisors is an integer number (55000055060505).

Almost surely, 2^{110000110121009} is an apocalyptic number.

It is an amenable number.

110000110121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000110121009 is an equidigital number, since it uses as much as digits as its factorization.

110000110121009 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 17.

The spelling of 110000110121009 in words is "one hundred ten trillion, one hundred ten million, one hundred twenty-one thousand, nine".