10002100210241 has 2 divisors, whose sum is σ = 10002100210242. Its totient is φ = 10002100210240.

The previous prime is 10002100210217. The next prime is 10002100210343. The reversal of 10002100210241 is 14201200120001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9590572828225 + 411527382016 = 3096865^2 + 641504^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002100210241 - 2⁶ = 10002100210177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002100210841) 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 as a sum of consecutive naturals, namely, 5001050105120 + 5001050105121.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050105121).

Almost surely, 2^{10002100210241} is an apocalyptic number.

It is an amenable number.

10002100210241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002100210241 is an equidigital number, since it uses as much as digits as its factorization.

10002100210241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10002100210241 its reverse (14201200120001), we get a palindrome (24203300330242).

The spelling of 10002100210241 in words is "ten trillion, two billion, one hundred million, two hundred ten thousand, two hundred forty-one".