10221002332101 has 24 divisors (see below), whose sum is σ = 16541114345184. Its totient is φ = 6027126680160.

The previous prime is 10221002332061. The next prime is 10221002332109. The reversal of 10221002332101 is 10123320012201.

10221002332101 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 0 + 233 + 210 + 1 = 666.

It is not a de Polignac number, because 10221002332101 - 2¹¹ = 10221002330053 is a prime.

It is a super-3 number, since 3×10221002332101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221002332109) 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 23 ways as a sum of consecutive naturals, for example, 1395164551 + ... + 1395171876.

It is an arithmetic number, because the mean of its divisors is an integer number (689213097716).

Almost surely, 2^{10221002332101} is an apocalyptic number.

10221002332101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221002332101 is a deficient number, since it is larger than the sum of its proper divisors (6320112013083).

10221002332101 is a wasteful number, since it uses less digits than its factorization.

10221002332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790336481 (or 2790336478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221002332101 its reverse (10123320012201), we get a palindrome (20344322344302).

The spelling of 10221002332101 in words is "ten trillion, two hundred twenty-one billion, two million, three hundred thirty-two thousand, one hundred one".