32113210100 has 72 divisors (see below), whose sum is σ = 70777891800. Its totient is φ = 12645498880.

The previous prime is 32113210091. The next prime is 32113210111. The reversal of 32113210100 is 101231123.

It can be written as a sum of positive squares in 12 ways, for example, as 31341037156 + 772172944 = 177034^2 + 27788^2 .

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 23 ways as a sum of consecutive naturals, for example, 1674164 + ... + 1693236.

It is an arithmetic number, because the mean of its divisors is an integer number (983026275).

Almost surely, 2^32113210100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32113210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35388945900).

32113210100 is an abundant number, since it is smaller than the sum of its proper divisors (38664681700).

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

32113210100 is a wasteful number, since it uses less digits than its factorization.

32113210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19349 (or 19342 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 32113210100 its reverse (101231123), we get a palindrome (32214441223).

The spelling of 32113210100 in words is "thirty-two billion, one hundred thirteen million, two hundred ten thousand, one hundred".