10102001022221 has 2 divisors, whose sum is σ = 10102001022222. Its totient is φ = 10102001022220.

The previous prime is 10102001022193. The next prime is 10102001022241. The reversal of 10102001022221 is 12222010020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8080090502500 + 2021910519721 = 2842550^2 + 1421939^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102001022221 - 2¹⁸ = 10102000760077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102001022196 and 10102001022205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102001022241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051000511110 + 5051000511111.

It is an arithmetic number, because the mean of its divisors is an integer number (5051000511111).

Almost surely, 2^{10102001022221} is an apocalyptic number.

It is an amenable number.

10102001022221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102001022221 is an equidigital number, since it uses as much as digits as its factorization.

10102001022221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102001022221 its reverse (12222010020101), we get a palindrome (22324011042322).

The spelling of 10102001022221 in words is "ten trillion, one hundred two billion, one million, twenty-two thousand, two hundred twenty-one".