221121011212117 has 2 divisors, whose sum is σ = 221121011212118. Its totient is φ = 221121011212116.

The previous prime is 221121011212109. The next prime is 221121011212133. The reversal of 221121011212117 is 711212110121122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113248567032561 + 107872444179556 = 10641831^2 + 10386166^2 .

It is a cyclic number.

It is not a de Polignac number, because 221121011212117 - 2³ = 221121011212109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221121011212091 and 221121011212100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221121011212817) 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, 110560505606058 + 110560505606059.

It is an arithmetic number, because the mean of its divisors is an integer number (110560505606059).

Almost surely, 2^{221121011212117} is an apocalyptic number.

It is an amenable number.

221121011212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121011212117 is an equidigital number, since it uses as much as digits as its factorization.

221121011212117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 25.

Adding to 221121011212117 its reverse (711212110121122), we get a palindrome (932333121333239).

The spelling of 221121011212117 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, eleven million, two hundred twelve thousand, one hundred seventeen".