102001222100221 has 2 divisors, whose sum is σ = 102001222100222. Its totient is φ = 102001222100220.

The previous prime is 102001222100171. The next prime is 102001222100269. The reversal of 102001222100221 is 122001222100201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95740647631225 + 6260574468996 = 9784715^2 + 2502114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102001222100221 is a prime.

It is a super-2 number, since 2×102001222100221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001222100195 and 102001222100204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001222190221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000611050110 + 51000611050111.

It is an arithmetic number, because the mean of its divisors is an integer number (51000611050111).

Almost surely, 2^{102001222100221} is an apocalyptic number.

It is an amenable number.

102001222100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001222100221 is an equidigital number, since it uses as much as digits as its factorization.

102001222100221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102001222100221 its reverse (122001222100201), we get a palindrome (224002444200422).

It can be divided in two parts, 102001 and 222100221, that added together give a palindrome (222202222).

The spelling of 102001222100221 in words is "one hundred two trillion, one billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-one".