10102200200321 has 4 divisors (see below), whose sum is σ = 10118210026944. Its totient is φ = 10086190373700.

The previous prime is 10102200200311. The next prime is 10102200200333. The reversal of 10102200200321 is 12300200220101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10102200200321 - 2³⁸ = 9827322293377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10102200200296 and 10102200200305.

It is not an unprimeable number, because it can be changed into a prime (10102200200311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8004912365 + ... + 8004913626.

It is an arithmetic number, because the mean of its divisors is an integer number (2529552506736).

Almost surely, 2^{10102200200321} is an apocalyptic number.

It is an amenable number.

10102200200321 is a deficient number, since it is larger than the sum of its proper divisors (16009826623).

10102200200321 is an equidigital number, since it uses as much as digits as its factorization.

10102200200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16009826622.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10102200200321 its reverse (12300200220101), we get a palindrome (22402400420422).

The spelling of 10102200200321 in words is "ten trillion, one hundred two billion, two hundred million, two hundred thousand, three hundred twenty-one".