21100132333302 has 128 divisors (see below), whose sum is σ = 47712151872000. Its totient is φ = 6164623872000.

The previous prime is 21100132333289. The next prime is 21100132333309. The reversal of 21100132333302 is 20333323100112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100132333309) 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, 152387302 + ... + 152525702.

It is an arithmetic number, because the mean of its divisors is an integer number (372751186500).

Almost surely, 2^{21100132333302} is an apocalyptic number.

21100132333302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100132333302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23856075936000).

21100132333302 is an abundant number, since it is smaller than the sum of its proper divisors (26612019538698).

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

21100132333302 is a wasteful number, since it uses less digits than its factorization.

21100132333302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139022.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21100132333302 its reverse (20333323100112), we get a palindrome (41433455433414).

The spelling of 21100132333302 in words is "twenty-one trillion, one hundred billion, one hundred thirty-two million, three hundred thirty-three thousand, three hundred two".