10002021984 has 72 divisors (see below), whose sum is σ = 28471224600. Its totient is φ = 3330728448.

The previous prime is 10002021973. The next prime is 10002022007. The reversal of 10002021984 is 48912020001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285559 + ... + 318665.

It is an arithmetic number, because the mean of its divisors is an integer number (395433675).

Almost surely, 2^10002021984 is an apocalyptic number.

It is an amenable number.

10002021984 is an abundant number, since it is smaller than the sum of its proper divisors (18469202616).

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

10002021984 is a wasteful number, since it uses less digits than its factorization.

10002021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34172 (or 34161 counting only the distinct ones).

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

Adding to 10002021984 its reverse (48912020001), we get a palindrome (58914041985).

The spelling of 10002021984 in words is "ten billion, two million, twenty-one thousand, nine hundred eighty-four".