110211000112009 has 2 divisors, whose sum is σ = 110211000112010. Its totient is φ = 110211000112008.

The previous prime is 110211000111973. The next prime is 110211000112021. The reversal of 110211000112009 is 900211000112011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79247651473225 + 30963348638784 = 8902115^2 + 5564472^2 .

It is a cyclic number.

It is not a de Polignac number, because 110211000112009 - 2⁷ = 110211000111881 is a prime.

It is not a weakly prime, because it can be changed into another prime (110211000110009) 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, 55105500056004 + 55105500056005.

It is an arithmetic number, because the mean of its divisors is an integer number (55105500056005).

Almost surely, 2^{110211000112009} is an apocalyptic number.

It is an amenable number.

110211000112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110211000112009 is an equidigital number, since it uses as much as digits as its factorization.

110211000112009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 110211000112009 in words is "one hundred ten trillion, two hundred eleven billion, one hundred twelve thousand, nine".