101323320189760 has 336 divisors, whose sum is σ = 258008915243520. Its totient is φ = 37892063232000.

The previous prime is 101323320189737. The next prime is 101323320189803. The reversal of 101323320189760 is 67981023323101.

It is a self number, because there is not a number n which added to its sum of digits gives 101323320189760.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13404324861 + ... + 13404332419.

It is an arithmetic number, because the mean of its divisors is an integer number (767883676320).

Almost surely, 2^{101323320189760} is an apocalyptic number.

101323320189760 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 101323320189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129004457621760).

101323320189760 is an abundant number, since it is smaller than the sum of its proper divisors (156685595053760).

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

101323320189760 is a wasteful number, since it uses less digits than its factorization.

101323320189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 8527 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 101323320189760 in words is "one hundred one trillion, three hundred twenty-three billion, three hundred twenty million, one hundred eighty-nine thousand, seven hundred sixty".