10021034441 has 16 divisors (see below), whose sum is σ = 11028676608. Its totient is φ = 9029638800.

The previous prime is 10021034437. The next prime is 10021034449. The reversal of 10021034441 is 14443012001.

10021034441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10021034441 - 2² = 10021034437 is a prime.

It is a super-3 number, since 3×10021034441³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021034449) 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 15 ways as a sum of consecutive naturals, for example, 1789556 + ... + 1795146.

It is an arithmetic number, because the mean of its divisors is an integer number (689292288).

Almost surely, 2^10021034441 is an apocalyptic number.

10021034441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021034441 is a deficient number, since it is larger than the sum of its proper divisors (1007642167).

10021034441 is a wasteful number, since it uses less digits than its factorization.

10021034441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10021034441 its reverse (14443012001), we get a palindrome (24464046442).

The spelling of 10021034441 in words is "ten billion, twenty-one million, thirty-four thousand, four hundred forty-one".