110406321001217 has 2 divisors, whose sum is σ = 110406321001218. Its totient is φ = 110406321001216.

The previous prime is 110406321001211. The next prime is 110406321001337. The reversal of 110406321001217 is 712100123604011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84710100108481 + 25696220892736 = 9203809^2 + 5069144^2 .

It is a cyclic number.

It is not a de Polignac number, because 110406321001217 - 2⁸ = 110406321000961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110406321001217.

It is not a weakly prime, because it can be changed into another prime (110406321001211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55203160500608 + 55203160500609.

It is an arithmetic number, because the mean of its divisors is an integer number (55203160500609).

Almost surely, 2^{110406321001217} is an apocalyptic number.

It is an amenable number.

110406321001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

110406321001217 is an equidigital number, since it uses as much as digits as its factorization.

110406321001217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 110406321001217 its reverse (712100123604011), we get a palindrome (822506444605228).

The spelling of 110406321001217 in words is "one hundred ten trillion, four hundred six billion, three hundred twenty-one million, one thousand, two hundred seventeen".