102221221210201 has 2 divisors, whose sum is σ = 102221221210202. Its totient is φ = 102221221210200.

The previous prime is 102221221210183. The next prime is 102221221210217. The reversal of 102221221210201 is 102012122122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78919699272976 + 23301521937225 = 8883676^2 + 4827165^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221221210201 - 2⁴⁵ = 67036849121369 is a prime.

It is not a weakly prime, because it can be changed into another prime (102221221214201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110610605100 + 51110610605101.

It is an arithmetic number, because the mean of its divisors is an integer number (51110610605101).

Almost surely, 2^{102221221210201} is an apocalyptic number.

It is an amenable number.

102221221210201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221221210201 is an equidigital number, since it uses as much as digits as its factorization.

102221221210201 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 19.

Adding to 102221221210201 its reverse (102012122122201), we get a palindrome (204233343332402).

The spelling of 102221221210201 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred ten thousand, two hundred one".