10015821120 has 448 divisors, whose sum is σ = 35025177600. Its totient is φ = 2416066560.

The previous prime is 10015821001. The next prime is 10015821157. The reversal of 10015821120 is 2112851001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44122447 + ... + 44122673.

It is an arithmetic number, because the mean of its divisors is an integer number (78181200).

Almost surely, 2^10015821120 is an apocalyptic number.

10015821120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10015821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512588800).

10015821120 is an abundant number, since it is smaller than the sum of its proper divisors (25009356480).

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

10015821120 is a wasteful number, since it uses less digits than its factorization.

10015821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

It can be divided in two parts, 100158 and 21120, that added together give a triangular number (121278 = T₄₉₂).

The spelling of 10015821120 in words is "ten billion, fifteen million, eight hundred twenty-one thousand, one hundred twenty".