10001002211 has 2 divisors, whose sum is σ = 10001002212. Its totient is φ = 10001002210.

The previous prime is 10001002189. The next prime is 10001002213. The reversal of 10001002211 is 11220010001.

10001002211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (11220010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001002211 - 2³⁰ = 8927260387 is a prime.

It is a Sophie Germain prime.

Together with 10001002213, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10001002213) 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, 5000501105 + 5000501106.

It is an arithmetic number, because the mean of its divisors is an integer number (5000501106).

Almost surely, 2^10001002211 is an apocalyptic number.

10001002211 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001002211 is an equidigital number, since it uses as much as digits as its factorization.

10001002211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001002211 its reverse (11220010001), we get a palindrome (21221012212).

The spelling of 10001002211 in words is "ten billion, one million, two thousand, two hundred eleven".