102200321 has 8 divisors (see below), whose sum is σ = 105840000. Its totient is φ = 98568400.

The previous prime is 102200309. The next prime is 102200341. The reversal of 102200321 is 123002201.

It is a happy number.

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 102200321 - 2²⁶ = 35091457 is a prime.

It is a super-2 number, since 2×102200321² = 20889811225006082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42296 + ... + 44646.

It is an arithmetic number, because the mean of its divisors is an integer number (13230000).

Almost surely, 2^102200321 is an apocalyptic number.

It is an amenable number.

102200321 is a deficient number, since it is larger than the sum of its proper divisors (3639679).

102200321 is a wasteful number, since it uses less digits than its factorization.

102200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102200321 is about 10109.4174411783. The cubic root of 102200321 is about 467.5385439162.

Adding to 102200321 its reverse (123002201), we get a palindrome (225202522).

The spelling of 102200321 in words is "one hundred two million, two hundred thousand, three hundred twenty-one".