102211212021221 has 2 divisors, whose sum is σ = 102211212021222. Its totient is φ = 102211212021220.

The previous prime is 102211212021169. The next prime is 102211212021229. The reversal of 102211212021221 is 122120212112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70015290540196 + 32195921481025 = 8367514^2 + 5674145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102211212021221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102211212021193 and 102211212021202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102211212021229) 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, 51105606010610 + 51105606010611.

It is an arithmetic number, because the mean of its divisors is an integer number (51105606010611).

Almost surely, 2^{102211212021221} is an apocalyptic number.

It is an amenable number.

102211212021221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211212021221 is an equidigital number, since it uses as much as digits as its factorization.

102211212021221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102211212021221 its reverse (122120212112201), we get a palindrome (224331424133422).

The spelling of 102211212021221 in words is "one hundred two trillion, two hundred eleven billion, two hundred twelve million, twenty-one thousand, two hundred twenty-one".