102321213221 has 8 divisors (see below), whose sum is σ = 102533290104. Its totient is φ = 102109222080.

The previous prime is 102321213191. The next prime is 102321213251. The reversal of 102321213221 is 122312123201.

It is an interprime number because it is at equal distance from previous prime (102321213191) and next prime (102321213251).

It can be written as a sum of positive squares in 4 ways, for example, as 75356289121 + 26964924100 = 274511^2 + 164210^2 .

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 102321213221 - 2¹⁰ = 102321212197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102321213193 and 102321213202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102321213251) 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, 2728031 + ... + 2765283.

It is an arithmetic number, because the mean of its divisors is an integer number (12816661263).

Almost surely, 2^102321213221 is an apocalyptic number.

It is an amenable number.

102321213221 is a deficient number, since it is larger than the sum of its proper divisors (212076883).

102321213221 is an equidigital number, since it uses as much as digits as its factorization.

102321213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42871.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102321213221 its reverse (122312123201), we get a palindrome (224633336422).

The spelling of 102321213221 in words is "one hundred two billion, three hundred twenty-one million, two hundred thirteen thousand, two hundred twenty-one".