110121221101009 has 2 divisors, whose sum is σ = 110121221101010. Its totient is φ = 110121221101008.

The previous prime is 110121221100997. The next prime is 110121221101033. The reversal of 110121221101009 is 900101122121011.

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., 96092241102225 + 14028979998784 = 9802665^2 + 3745528^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121221101009 - 2⁷ = 110121221100881 is a prime.

It is not a weakly prime, because it can be changed into another prime (110121221104009) 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, 55060610550504 + 55060610550505.

It is an arithmetic number, because the mean of its divisors is an integer number (55060610550505).

Almost surely, 2^{110121221101009} is an apocalyptic number.

It is an amenable number.

110121221101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121221101009 is an equidigital number, since it uses as much as digits as its factorization.

110121221101009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 110121221101009 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, nine".