10221011332 has 72 divisors (see below), whose sum is σ = 21121285248. Its totient is φ = 4314744000.

The previous prime is 10221011329. The next prime is 10221011351. The reversal of 10221011332 is 23311012201.

It is a super-3 number, since 3×10221011332³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4175733 + ... + 4178179.

It is an arithmetic number, because the mean of its divisors is an integer number (293351184).

Almost surely, 2^10221011332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560642624).

10221011332 is an abundant number, since it is smaller than the sum of its proper divisors (10900273916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221011332 is a wasteful number, since it uses less digits than its factorization.

10221011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10221011332 its reverse (23311012201), we get a palindrome (33532023533).

The spelling of 10221011332 in words is "ten billion, two hundred twenty-one million, eleven thousand, three hundred thirty-two".