10020021984 has 72 divisors (see below), whose sum is σ = 32565078000. Its totient is φ = 2862862848.

The previous prime is 10020021983. The next prime is 10020022043. The reversal of 10020021984 is 48912002001.

10020021984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020021983) 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 11 ways as a sum of consecutive naturals, for example, 2483109 + ... + 2487140.

It is an arithmetic number, because the mean of its divisors is an integer number (452292750).

Almost surely, 2^10020021984 is an apocalyptic number.

10020021984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10020021984 is an abundant number, since it is smaller than the sum of its proper divisors (22545056016).

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

10020021984 is a wasteful number, since it uses less digits than its factorization.

10020021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970272 (or 4970261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10020021984 its reverse (48912002001), we get a palindrome (58932023985).

The spelling of 10020021984 in words is "ten billion, twenty million, twenty-one thousand, nine hundred eighty-four".