10010001000221 has 4 divisors (see below), whose sum is σ = 10010008589244. Its totient is φ = 10009993411200.

The previous prime is 10010001000217. The next prime is 10010001000247. The reversal of 10010001000221 is 12200010001001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 4901180527321 + 5108820472900 = 2213861^2 + 2260270^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010001000221 - 2² = 10010001000217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010001000199 and 10010001000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001000211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1244990 + ... + 4644351.

It is an arithmetic number, because the mean of its divisors is an integer number (2502502147311).

Almost surely, 2^{10010001000221} is an apocalyptic number.

It is an amenable number.

10010001000221 is a deficient number, since it is larger than the sum of its proper divisors (7589023).

10010001000221 is an equidigital number, since it uses as much as digits as its factorization.

10010001000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589022.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010001000221 its reverse (12200010001001), we get a palindrome (22210011001222).

The spelling of 10010001000221 in words is "ten trillion, ten billion, one million, two hundred twenty-one", and thus it is an aban number.