101330323120 has 160 divisors (see below), whose sum is σ = 256463585280. Its totient is φ = 37010856960.

The previous prime is 101330323111. The next prime is 101330323121. The reversal of 101330323120 is 21323033101.

It is not an unprimeable number, because it can be changed into a prime (101330323121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55340605 + ... + 55342435.

It is an arithmetic number, because the mean of its divisors is an integer number (1602897408).

Almost surely, 2^101330323120 is an apocalyptic number.

101330323120 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 101330323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128231792640).

101330323120 is an abundant number, since it is smaller than the sum of its proper divisors (155133262160).

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

101330323120 is a wasteful number, since it uses less digits than its factorization.

101330323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 101330323120 its reverse (21323033101), we get a palindrome (122653356221).

The spelling of 101330323120 in words is "one hundred one billion, three hundred thirty million, three hundred twenty-three thousand, one hundred twenty".