202100010001 has 2 divisors, whose sum is σ = 202100010002. Its totient is φ = 202100010000.

The previous prime is 202100009999. The next prime is 202100010121. The reversal of 202100010001 is 100010001202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162508959376 + 39591050625 = 403124^2 + 198975^2 .

It is a cyclic number.

It is not a de Polignac number, because 202100010001 - 2¹ = 202100009999 is a prime.

Together with 202100009999, it forms a pair of twin primes.

202100010001 is a modest number, since divided by 10001 gives 2021 as remainder.

It is not a weakly prime, because it can be changed into another prime (202104010001) 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, 101050005000 + 101050005001.

It is an arithmetic number, because the mean of its divisors is an integer number (101050005001).

Almost surely, 2^202100010001 is an apocalyptic number.

It is an amenable number.

202100010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202100010001 is an equidigital number, since it uses as much as digits as its factorization.

202100010001 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 202100010001 its reverse (100010001202), we get a palindrome (302110011203).

It can be divided in two parts, 202 and 100010001, that multiplied together give a palindrome (20202020202).

The spelling of 202100010001 in words is "two hundred two billion, one hundred million, ten thousand, one".