110111101101217 has 2 divisors, whose sum is σ = 110111101101218. Its totient is φ = 110111101101216.

The previous prime is 110111101101073. The next prime is 110111101101227. The reversal of 110111101101217 is 712101101111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109968129391761 + 142971709456 = 10486569^2 + 378116^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111101101217 - 2⁴³ = 101315008079009 is a prime.

It is a super-4 number, since 4×110111101101217⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110111101101194 and 110111101101203.

It is not a weakly prime, because it can be changed into another prime (110111101101227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055550550608 + 55055550550609.

It is an arithmetic number, because the mean of its divisors is an integer number (55055550550609).

Almost surely, 2^{110111101101217} is an apocalyptic number.

It is an amenable number.

110111101101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111101101217 is an equidigital number, since it uses as much as digits as its factorization.

110111101101217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 19.

Adding to 110111101101217 its reverse (712101101111011), we get a palindrome (822212202212228).

The spelling of 110111101101217 in words is "one hundred ten trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, two hundred seventeen".