102213113212321 has 8 divisors (see below), whose sum is σ = 108225842263560. Its totient is φ = 96200405603328.

The previous prime is 102213113212319. The next prime is 102213113212361. The reversal of 102213113212321 is 123212311312201.

It can be written as a sum of positive squares in 4 ways, for example, as 62161618821696 + 40051494390625 = 7884264^2 + 6328625^2 .

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 102213113212321 - 2¹ = 102213113212319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213113212361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5029005 + ... + 15156421.

It is an arithmetic number, because the mean of its divisors is an integer number (13528230282945).

Almost surely, 2^{102213113212321} is an apocalyptic number.

It is an amenable number.

102213113212321 is a deficient number, since it is larger than the sum of its proper divisors (6012729051239).

102213113212321 is a wasteful number, since it uses less digits than its factorization.

102213113212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721123.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 102213113212321 its reverse (123212311312201), we get a palindrome (225425424524522).

The spelling of 102213113212321 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, three hundred twenty-one".