33122320100 has 72 divisors (see below), whose sum is σ = 72800418600. Its totient is φ = 13078912000.

The previous prime is 33122320093. The next prime is 33122320103. The reversal of 33122320100 is 102322133.

It can be written as a sum of positive squares in 12 ways, for example, as 19067743396 + 14054576704 = 138086^2 + 118552^2 .

It is not an unprimeable number, because it can be changed into a prime (33122320103) 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 23 ways as a sum of consecutive naturals, for example, 6236246 + ... + 6241554.

It is an arithmetic number, because the mean of its divisors is an integer number (1011116925).

Almost surely, 2^33122320100 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 33122320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36400209300).

33122320100 is an abundant number, since it is smaller than the sum of its proper divisors (39678098500).

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

33122320100 is a wasteful number, since it uses less digits than its factorization.

33122320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 33122320100 its reverse (102322133), we get a palindrome (33224642233).

The spelling of 33122320100 in words is "thirty-three billion, one hundred twenty-two million, three hundred twenty thousand, one hundred".