102221000213 has 2 divisors, whose sum is σ = 102221000214. Its totient is φ = 102221000212.

The previous prime is 102221000183. The next prime is 102221000227. The reversal of 102221000213 is 312000122201.

It is a happy number.

It is an a-pointer prime, because the next prime (102221000227) can be obtained adding 102221000213 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54206549329 + 48014450884 = 232823^2 + 219122^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221000213 - 2²⁰ = 102219951637 is a prime.

It is a super-2 number, since 2×102221000213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221000113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110500106 + 51110500107.

It is an arithmetic number, because the mean of its divisors is an integer number (51110500107).

Almost surely, 2^102221000213 is an apocalyptic number.

It is an amenable number.

102221000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221000213 is an equidigital number, since it uses as much as digits as its factorization.

102221000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102221000213 its reverse (312000122201), we get a palindrome (414221122414).

The spelling of 102221000213 in words is "one hundred two billion, two hundred twenty-one million, two hundred thirteen", and thus it is an aban number.