10121981824 has 64 divisors (see below), whose sum is σ = 20989458000. Its totient is φ = 4856205312.

The previous prime is 10121981813. The next prime is 10121981843. The reversal of 10121981824 is 42818912101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596692 + ... + 613420.

Almost surely, 2^10121981824 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 10121981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494729000).

10121981824 is an abundant number, since it is smaller than the sum of its proper divisors (10867476176).

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

10121981824 is a wasteful number, since it uses less digits than its factorization.

10121981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16923 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The spelling of 10121981824 in words is "ten billion, one hundred twenty-one million, nine hundred eighty-one thousand, eight hundred twenty-four".