102212202111221 has 2 divisors, whose sum is σ = 102212202111222. Its totient is φ = 102212202111220.

The previous prime is 102212202111191. The next prime is 102212202111223. The reversal of 102212202111221 is 122111202212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91728238080196 + 10483964031025 = 9577486^2 + 3237895^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212202111221 - 2³⁴ = 102195022242037 is a prime.

It is a super-2 number, since 2×102212202111221² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 102212202111223, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102212202111193 and 102212202111202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212202111223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106101055610 + 51106101055611.

It is an arithmetic number, because the mean of its divisors is an integer number (51106101055611).

Almost surely, 2^{102212202111221} is an apocalyptic number.

It is an amenable number.

102212202111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212202111221 is an equidigital number, since it uses as much as digits as its factorization.

102212202111221 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 102212202111221 its reverse (122111202212201), we get a palindrome (224323404323422).

The spelling of 102212202111221 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, one hundred eleven thousand, two hundred twenty-one".