10002100210221 has 32 divisors (see below), whose sum is σ = 15772390502400. Its totient is φ = 5516463556800.

The previous prime is 10002100210217. The next prime is 10002100210241. The reversal of 10002100210221 is 12201200120001.

It is not a de Polignac number, because 10002100210221 - 2² = 10002100210217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002100210197 and 10002100210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002100210241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144101 + ... + 4616618.

It is an arithmetic number, because the mean of its divisors is an integer number (492887203200).

Almost surely, 2^{10002100210221} is an apocalyptic number.

It is an amenable number.

10002100210221 is a deficient number, since it is larger than the sum of its proper divisors (5770290292179).

10002100210221 is a wasteful number, since it uses less digits than its factorization.

10002100210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763609.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002100210221 its reverse (12201200120001), we get a palindrome (22203300330222).

The spelling of 10002100210221 in words is "ten trillion, two billion, one hundred million, two hundred ten thousand, two hundred twenty-one".