10081621120 has 64 divisors (see below), whose sum is σ = 24127683840. Its totient is φ = 4028247040.

The previous prime is 10081621111. The next prime is 10081621169. The reversal of 10081621120 is 2112618001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10081621091 and 10081621100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613329 + ... + 629551.

It is an arithmetic number, because the mean of its divisors is an integer number (376995060).

Almost surely, 2^10081621120 is an apocalyptic number.

10081621120 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 10081621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12063841920).

10081621120 is an abundant number, since it is smaller than the sum of its proper divisors (14046062720).

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

10081621120 is an equidigital number, since it uses as much as digits as its factorization.

10081621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17213 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The spelling of 10081621120 in words is "ten billion, eighty-one million, six hundred twenty-one thousand, one hundred twenty".