102000210021001 has 2 divisors, whose sum is σ = 102000210021002. Its totient is φ = 102000210021000.

The previous prime is 102000210020999. The next prime is 102000210021071. The reversal of 102000210021001 is 100120012000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81801261804025 + 20198948216976 = 9044405^2 + 4494324^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000210021001 - 2¹ = 102000210020999 is a prime.

It is a super-2 number, since 2×102000210021001² (a number of 29 digits) contains 22 as substring.

Together with 102000210020999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102000210021071) 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, 51000105010500 + 51000105010501.

It is an arithmetic number, because the mean of its divisors is an integer number (51000105010501).

Almost surely, 2^{102000210021001} is an apocalyptic number.

It is an amenable number.

102000210021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000210021001 is an equidigital number, since it uses as much as digits as its factorization.

102000210021001 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 102000210021001 its reverse (100120012000201), we get a palindrome (202120222021202).

The spelling of 102000210021001 in words is "one hundred two trillion, two hundred ten million, twenty-one thousand, one".