102001 has 2 divisors, whose sum is σ = 102002. Its totient is φ = 102000.

The previous prime is 101999. The next prime is 102013. The reversal of 102001 is 100201.

102001 is nontrivially palindromic in base 13.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62001 + 40000 = 249^2 + 200^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001 - 2¹ = 101999 is a prime.

Together with 101999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000 + 51001.

It is an arithmetic number, because the mean of its divisors is an integer number (51001).

2¹⁰²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001 is an equidigital number, since it uses as much as digits as its factorization.

102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 102001 is about 319.3759540103. The cubic root of 102001 is about 46.7234399735.

Adding to 102001 its reverse (100201), we get a palindrome (202202).

Multiplying 102001 by its reverse (100201), we get a palindrome (10220602201).

It can be divided in two parts, 10200 and 1, that added together give a palindrome (10201).

The spelling of 102001 in words is "one hundred two thousand, one", and thus it is an iban number.