210000102001 has 2 divisors, whose sum is σ = 210000102002. Its totient is φ = 210000102000.

The previous prime is 210000101999. The next prime is 210000102049. The reversal of 210000102001 is 100201000012.

210000102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208757610000 + 1242492001 = 456900^2 + 35249^2 .

It is a cyclic number.

It is not a de Polignac number, because 210000102001 - 2¹ = 210000101999 is a prime.

Together with 210000101999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (210009102001) 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 as a sum of consecutive naturals, namely, 105000051000 + 105000051001.

It is an arithmetic number, because the mean of its divisors is an integer number (105000051001).

Almost surely, 2^210000102001 is an apocalyptic number.

It is an amenable number.

210000102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210000102001 is an equidigital number, since it uses as much as digits as its factorization.

210000102001 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 7.

Adding to 210000102001 its reverse (100201000012), we get a palindrome (310201102013).

The spelling of 210000102001 in words is "two hundred ten billion, one hundred two thousand, one".