10121332320 has 240 divisors, whose sum is σ = 38967678288. Its totient is φ = 2453621760.

The previous prime is 10121332301. The next prime is 10121332343. The reversal of 10121332320 is 2323312101.

10121332320 is a `hidden beast` number, since 1 + 0 + 12 + 1 + 332 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10121332293 and 10121332302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107062 + ... + 178058.

Almost surely, 2^10121332320 is an apocalyptic number.

10121332320 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 10121332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19483839144).

10121332320 is an abundant number, since it is smaller than the sum of its proper divisors (28846345968).

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

10121332320 is a wasteful number, since it uses less digits than its factorization.

10121332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71035 (or 71018 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10121332320 its reverse (2323312101), we get a palindrome (12444644421).

The spelling of 10121332320 in words is "ten billion, one hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty".