10201221202221 has 48 divisors (see below), whose sum is σ = 17008019832960. Its totient is φ = 5771155017600.

The previous prime is 10201221202219. The next prime is 10201221202229. The reversal of 10201221202221 is 12220212210201.

It is a happy number.

10201221202221 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 221 + 202 + 221 = 666.

It is not a de Polignac number, because 10201221202221 - 2¹ = 10201221202219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201221202194 and 10201221202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201221202229) 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 in 47 ways as a sum of consecutive naturals, for example, 108906835 + ... + 109000463.

It is an arithmetic number, because the mean of its divisors is an integer number (354333746520).

Almost surely, 2^{10201221202221} is an apocalyptic number.

It is an amenable number.

10201221202221 is a deficient number, since it is larger than the sum of its proper divisors (6806798630739).

10201221202221 is a wasteful number, since it uses less digits than its factorization.

10201221202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110866 (or 110863 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10201221202221 its reverse (12220212210201), we get a palindrome (22421433412422).

The spelling of 10201221202221 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty-one".