101321332200000 has 1008 divisors, whose sum is σ = 398635264460160. Its totient is φ = 24399360000000.

The previous prime is 101321332199953. The next prime is 101321332200001. The reversal of 101321332200000 is 2233123101.

101321332200000 is a `hidden beast` number, since 1 + 0 + 132 + 1 + 332 + 200 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101321332200001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2989783056 + ... + 2989816944.

It is an arithmetic number, because the mean of its divisors is an integer number (395471492520).

Almost surely, 2^{101321332200000} is an apocalyptic number.

101321332200000 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 101321332200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199317632230080).

101321332200000 is an abundant number, since it is smaller than the sum of its proper divisors (297313932260160).

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

101321332200000 is a wasteful number, since it uses less digits than its factorization.

101321332200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34094 (or 34061 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101321332200000 its reverse (2233123101), we get a palindrome (101323565323101).

The spelling of 101321332200000 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred thirty-two million, two hundred thousand".