21332300001100 has 144 divisors (see below), whose sum is σ = 51324244475616. Its totient is φ = 7631470080000.

The previous prime is 21332300001053. The next prime is 21332300001101. The reversal of 21332300001100 is 110000323312.

It is not an unprimeable number, because it can be changed into a prime (21332300001101) 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 47 ways as a sum of consecutive naturals, for example, 16831204 + ... + 18054196.

It is an arithmetic number, because the mean of its divisors is an integer number (356418364414).

Almost surely, 2^{21332300001100} is an apocalyptic number.

21332300001100 is a gapful number since it is divisible by the number (20) 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 21332300001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662122237808).

21332300001100 is an abundant number, since it is smaller than the sum of its proper divisors (29991944474516).

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

21332300001100 is a wasteful number, since it uses less digits than its factorization.

21332300001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223276 (or 1223269 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 21332300001100 its reverse (110000323312), we get a palindrome (21442300324412).

The spelling of 21332300001100 in words is "twenty-one trillion, three hundred thirty-two billion, three hundred million, one thousand, one hundred".