102220000321 has 8 divisors (see below), whose sum is σ = 103630726280. Its totient is φ = 100809556992.

The previous prime is 102220000279. The next prime is 102220000331. The reversal of 102220000321 is 123000022201.

It can be written as a sum of positive squares in 4 ways, for example, as 40064025600 + 62155974721 = 200160^2 + 249311^2 .

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 102220000321 - 2⁹ = 102219999809 is a prime.

It is a super-3 number, since 3×102220000321³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102220000331) 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, 717961 + ... + 848473.

It is an arithmetic number, because the mean of its divisors is an integer number (12953840785).

Almost surely, 2^102220000321 is an apocalyptic number.

It is an amenable number.

102220000321 is a deficient number, since it is larger than the sum of its proper divisors (1410725959).

102220000321 is a wasteful number, since it uses less digits than its factorization.

102220000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141315.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102220000321 its reverse (123000022201), we get a palindrome (225220022522).

The spelling of 102220000321 in words is "one hundred two billion, two hundred twenty million, three hundred twenty-one", and thus it is an aban number.