33122132100 has 216 divisors, whose sum is σ = 108521929152. Its totient is φ = 8433849600.

The previous prime is 33122132081. The next prime is 33122132107. The reversal of 33122132100 is 123122133.

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 (33122132107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16786714 + ... + 16788686.

Almost surely, 2^33122132100 is an apocalyptic number.

33122132100 is a gapful number since it is divisible by the number (30) 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 33122132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54260964576).

33122132100 is an abundant number, since it is smaller than the sum of its proper divisors (75399797052).

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

33122132100 is a wasteful number, since it uses less digits than its factorization.

33122132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2817 counting only the distinct ones).

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

Adding to 33122132100 its reverse (123122133), we get a palindrome (33245254233).

The spelling of 33122132100 in words is "thirty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred".