10002211201 has 2 divisors, whose sum is σ = 10002211202. Its totient is φ = 10002211200.

The previous prime is 10002211199. The next prime is 10002211207. The reversal of 10002211201 is 10211220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9501570576 + 500640625 = 97476^2 + 22375^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002211201 - 2¹ = 10002211199 is a prime.

Together with 10002211199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10002211207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001105600 + 5001105601.

It is an arithmetic number, because the mean of its divisors is an integer number (5001105601).

Almost surely, 2^10002211201 is an apocalyptic number.

It is an amenable number.

10002211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002211201 is an equidigital number, since it uses as much as digits as its factorization.

10002211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002211201 its reverse (10211220001), we get a palindrome (20213431202).

The spelling of 10002211201 in words is "ten billion, two million, two hundred eleven thousand, two hundred one".