102221121211117 has 2 divisors, whose sum is σ = 102221121211118. Its totient is φ = 102221121211116.

The previous prime is 102221121211091. The next prime is 102221121211163. The reversal of 102221121211117 is 711112121122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85316368262596 + 16904752948521 = 9236686^2 + 4111539^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221121211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221121211091 and 102221121211100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221121212117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110560605558 + 51110560605559.

It is an arithmetic number, because the mean of its divisors is an integer number (51110560605559).

Almost surely, 2^{102221121211117} is an apocalyptic number.

It is an amenable number.

102221121211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221121211117 is an equidigital number, since it uses as much as digits as its factorization.

102221121211117 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 102221121211117 its reverse (711112121122201), we get a palindrome (813333242333318).

The spelling of 102221121211117 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred seventeen".