102102222111221 has 2 divisors, whose sum is σ = 102102222111222. Its totient is φ = 102102222111220.

The previous prime is 102102222111161. The next prime is 102102222111289. The reversal of 102102222111221 is 122111222201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102025554592900 + 76667518321 = 10100770^2 + 276889^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102222111221 - 2³⁰ = 102101148369397 is a prime.

It is a super-2 number, since 2×102102222111221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102222111193 and 102102222111202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102102222110221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051111055610 + 51051111055611.

It is an arithmetic number, because the mean of its divisors is an integer number (51051111055611).

Almost surely, 2^{102102222111221} is an apocalyptic number.

It is an amenable number.

102102222111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102222111221 is an equidigital number, since it uses as much as digits as its factorization.

102102222111221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102102222111221 its reverse (122111222201201), we get a palindrome (224213444312422).

The spelling of 102102222111221 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".