10100332012320 has 288 divisors, whose sum is σ = 37615435288704. Its totient is φ = 2447611084800.

The previous prime is 10100332012313. The next prime is 10100332012363. The reversal of 10100332012320 is 2321023300101.

10100332012320 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 332 + 0 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 10100332012293 and 10100332012302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40950165 + ... + 41196075.

It is an arithmetic number, because the mean of its divisors is an integer number (130609150308).

Almost surely, 2^{10100332012320} is an apocalyptic number.

10100332012320 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 10100332012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18807717644352).

10100332012320 is an abundant number, since it is smaller than the sum of its proper divisors (27515103276384).

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

10100332012320 is a wasteful number, since it uses less digits than its factorization.

10100332012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248536 (or 248525 counting only the distinct ones).

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

Adding to 10100332012320 its reverse (2321023300101), we get a palindrome (12421355312421).

The spelling of 10100332012320 in words is "ten trillion, one hundred billion, three hundred thirty-two million, twelve thousand, three hundred twenty".