10100120320 has 144 divisors (see below), whose sum is σ = 25901568000. Its totient is φ = 3762008064.

The previous prime is 10100120311. The next prime is 10100120347. The reversal of 10100120320 is 2302100101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10100120297 and 10100120306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431361 + ... + 1438399.

It is an arithmetic number, because the mean of its divisors is an integer number (179872000).

Almost surely, 2^10100120320 is an apocalyptic number.

10100120320 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 10100120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950784000).

10100120320 is an abundant number, since it is smaller than the sum of its proper divisors (15801447680).

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

10100120320 is an equidigital number, since it uses as much as digits as its factorization.

10100120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7138 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10100120320 its reverse (2302100101), we get a palindrome (12402220421).

The spelling of 10100120320 in words is "ten billion, one hundred million, one hundred twenty thousand, three hundred twenty".