102221022223213 has 8 divisors (see below), whose sum is σ = 102535233633720. Its totient is φ = 101907282958080.

The previous prime is 102221022223183. The next prime is 102221022223219. The reversal of 102221022223213 is 312322220122201.

It can be written as a sum of positive squares in 4 ways, for example, as 3935152973284 + 98285869249929 = 1983722^2 + 9913923^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102221022223213 - 2⁹ = 102221022222701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221022223219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117602670 + ... + 118468687.

It is an arithmetic number, because the mean of its divisors is an integer number (12816904204215).

Almost surely, 2^{102221022223213} is an apocalyptic number.

It is an amenable number.

102221022223213 is a deficient number, since it is larger than the sum of its proper divisors (314211410507).

102221022223213 is an equidigital number, since it uses as much as digits as its factorization.

102221022223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236072687.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 102221022223213 its reverse (312322220122201), we get a palindrome (414543242345414).

The spelling of 102221022223213 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty-three thousand, two hundred thirteen".