211121100110017 has 2 divisors, whose sum is σ = 211121100110018. Its totient is φ = 211121100110016.

The previous prime is 211121100110009. The next prime is 211121100110023. The reversal of 211121100110017 is 710011001121112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208917422208576 + 2203677901441 = 14453976^2 + 1484479^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121100110017 - 2³ = 211121100110009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211121100109976 and 211121100110003.

It is not a weakly prime, because it can be changed into another prime (211121100110047) 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, 105560550055008 + 105560550055009.

It is an arithmetic number, because the mean of its divisors is an integer number (105560550055009).

Almost surely, 2^{211121100110017} is an apocalyptic number.

It is an amenable number.

211121100110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121100110017 is an equidigital number, since it uses as much as digits as its factorization.

211121100110017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 211121100110017 its reverse (710011001121112), we get a palindrome (921132101231129).

The spelling of 211121100110017 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred million, one hundred ten thousand, seventeen".