10221012441 has 24 divisors (see below), whose sum is σ = 15260094720. Its totient is φ = 6588684000.

The previous prime is 10221012419. The next prime is 10221012457. The reversal of 10221012441 is 14421012201.

10221012441 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 12 + 441 = 666.

It is not a de Polignac number, because 10221012441 - 2⁷ = 10221012313 is a prime.

It is a super-3 number, since 3×10221012441³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221011441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125385 + ... + 190166.

It is an arithmetic number, because the mean of its divisors is an integer number (635837280).

Almost surely, 2^10221012441 is an apocalyptic number.

It is an amenable number.

10221012441 is a deficient number, since it is larger than the sum of its proper divisors (5039082279).

10221012441 is a wasteful number, since it uses less digits than its factorization.

10221012441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315677 (or 315674 counting only the distinct ones).

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

Adding to 10221012441 its reverse (14421012201), we get a palindrome (24642024642).

The spelling of 10221012441 in words is "ten billion, two hundred twenty-one million, twelve thousand, four hundred forty-one".