101321111302032 has 320 divisors, whose sum is σ = 299555327232000. Its totient is φ = 29337046953984.

The previous prime is 101321111302031. The next prime is 101321111302093. The reversal of 101321111302032 is 230203111123101.

It is not an unprimeable number, because it can be changed into a prime (101321111302031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83955108 + ... + 85153404.

It is an arithmetic number, because the mean of its divisors is an integer number (936110397600).

Almost surely, 2^{101321111302032} is an apocalyptic number.

101321111302032 is a gapful number since it is divisible by the number (12) 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 101321111302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149777663616000).

101321111302032 is an abundant number, since it is smaller than the sum of its proper divisors (198234215929968).

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

101321111302032 is a wasteful number, since it uses less digits than its factorization.

101321111302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198518 (or 1198512 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101321111302032 its reverse (230203111123101), we get a palindrome (331524222425133).

The spelling of 101321111302032 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred eleven million, three hundred two thousand, thirty-two".