101321301120320 has 224 divisors, whose sum is σ = 247322819145600. Its totient is φ = 39523208192000.

The previous prime is 101321301120257. The next prime is 101321301120329. The reversal of 101321301120320 is 23021103123101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101321301120292 and 101321301120301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321301120329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9153603746 + ... + 9153614814.

Almost surely, 2^{101321301120320} is an apocalyptic number.

101321301120320 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 101321301120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123661409572800).

101321301120320 is an abundant number, since it is smaller than the sum of its proper divisors (146001518025280).

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

101321301120320 is a wasteful number, since it uses less digits than its factorization.

101321301120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14977 (or 14967 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101321301120320 its reverse (23021103123101), we get a palindrome (124342404243421).

The spelling of 101321301120320 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred one million, one hundred twenty thousand, three hundred twenty".