221100212221117 has 2 divisors, whose sum is σ = 221100212221118. Its totient is φ = 221100212221116.

The previous prime is 221100212221111. The next prime is 221100212221123. The reversal of 221100212221117 is 711122212001122.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (221100212221111) and next prime (221100212221123).

It can be written as a sum of positive squares in only one way, i.e., 216724505492356 + 4375706728761 = 14721566^2 + 2091819^2 .

It is a cyclic number.

It is not a de Polignac number, because 221100212221117 - 2²³ = 221100203832509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221100212221091 and 221100212221100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221100212221111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110550106110558 + 110550106110559.

It is an arithmetic number, because the mean of its divisors is an integer number (110550106110559).

Almost surely, 2^{221100212221117} is an apocalyptic number.

It is an amenable number.

221100212221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221100212221117 is an equidigital number, since it uses as much as digits as its factorization.

221100212221117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 25.

Adding to 221100212221117 its reverse (711122212001122), we get a palindrome (932222424222239).

The spelling of 221100212221117 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twelve million, two hundred twenty-one thousand, one hundred seventeen".