1002100020221 has 8 divisors (see below), whose sum is σ = 1072968959160. Its totient is φ = 932555734528.

The previous prime is 1002100020211. The next prime is 1002100020223. The reversal of 1002100020221 is 1220200012001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40937428900 + 961162591321 = 202330^2 + 980389^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002100020221 - 2¹⁴ = 1002100003837 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100020223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331161746 + ... + 331164771.

It is an arithmetic number, because the mean of its divisors is an integer number (134121119895).

Almost surely, 2^{1002100020221} is an apocalyptic number.

It is an amenable number.

1002100020221 is a deficient number, since it is larger than the sum of its proper divisors (70868938939).

1002100020221 is an equidigital number, since it uses as much as digits as its factorization.

1002100020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662326623.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002100020221 its reverse (1220200012001), we get a palindrome (2222300032222).

The spelling of 1002100020221 in words is "one trillion, two billion, one hundred million, twenty thousand, two hundred twenty-one".