110205321405409 has 2 divisors, whose sum is σ = 110205321405410. Its totient is φ = 110205321405408.

The previous prime is 110205321405331. The next prime is 110205321405461. The reversal of 110205321405409 is 904504123502011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67205105328384 + 43000216077025 = 8197872^2 + 6557455^2 .

It is a cyclic number.

It is not a de Polignac number, because 110205321405409 - 2⁹ = 110205321404897 is a prime.

It is not a weakly prime, because it can be changed into another prime (110205321405709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55102660702704 + 55102660702705.

It is an arithmetic number, because the mean of its divisors is an integer number (55102660702705).

Almost surely, 2^{110205321405409} is an apocalyptic number.

It is an amenable number.

110205321405409 is a deficient number, since it is larger than the sum of its proper divisors (1).

110205321405409 is an equidigital number, since it uses as much as digits as its factorization.

110205321405409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 110205321405409 in words is "one hundred ten trillion, two hundred five billion, three hundred twenty-one million, four hundred five thousand, four hundred nine".