10002100321 has 8 divisors (see below), whose sum is σ = 10441382400. Its totient is φ = 9563185632.

The previous prime is 10002100291. The next prime is 10002100333. The reversal of 10002100321 is 12300120001.

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 10002100321 - 2¹³ = 10002092129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002100298 and 10002100307.

It is not an unprimeable number, because it can be changed into a prime (10002100391) 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, 35460 + ... + 145813.

It is an arithmetic number, because the mean of its divisors is an integer number (1305172800).

Almost surely, 2^10002100321 is an apocalyptic number.

It is an amenable number.

10002100321 is a deficient number, since it is larger than the sum of its proper divisors (439282079).

10002100321 is a wasteful number, since it uses less digits than its factorization.

10002100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183695.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10002100321 its reverse (12300120001), we get a palindrome (22302220322).

The spelling of 10002100321 in words is "ten billion, two million, one hundred thousand, three hundred twenty-one".