2002010100221 has 6 divisors (see below), whose sum is σ = 2126702771130. Its totient is φ = 1884244799936.

The previous prime is 2002010100157. The next prime is 2002010100229. The reversal of 2002010100221 is 1220010102002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1010768836900 + 991241263321 = 1005370^2 + 995611^2 .

It is not a de Polignac number, because 2002010100221 - 2⁶ = 2002010100157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002010100229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3463685006 + ... + 3463685583.

It is an arithmetic number, because the mean of its divisors is an integer number (354450461855).

Almost surely, 2^{2002010100221} is an apocalyptic number.

It is an amenable number.

2002010100221 is a deficient number, since it is larger than the sum of its proper divisors (124692670909).

2002010100221 is an equidigital number, since it uses as much as digits as its factorization.

2002010100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927370623 (or 6927370606 counting only the distinct ones).

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

Adding to 2002010100221 its reverse (1220010102002), we get a palindrome (3222020202223).

The spelling of 2002010100221 in words is "two trillion, two billion, ten million, one hundred thousand, two hundred twenty-one".