10221202102221 has 16 divisors (see below), whose sum is σ = 16519114509120. Its totient is φ = 6194667940560.

The previous prime is 10221202102193. The next prime is 10221202102231. The reversal of 10221202102221 is 12220120212201.

It is a happy number.

10221202102221 is a `hidden beast` number, since 10 + 221 + 2 + 0 + 210 + 2 + 221 = 666.

It is not a de Polignac number, because 10221202102221 - 2¹¹ = 10221202100173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221202102194 and 10221202102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221202102231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17207410650 + ... + 17207411243.

It is an arithmetic number, because the mean of its divisors is an integer number (1032444656820).

Almost surely, 2^{10221202102221} is an apocalyptic number.

10221202102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221202102221 is a deficient number, since it is larger than the sum of its proper divisors (6297912406899).

10221202102221 is a wasteful number, since it uses less digits than its factorization.

10221202102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34414821913 (or 34414821907 counting only the distinct ones).

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

Adding to 10221202102221 its reverse (12220120212201), we get a palindrome (22441322314422).

The spelling of 10221202102221 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, one hundred two thousand, two hundred twenty-one".