33225200100 has 108 divisors (see below), whose sum is σ = 104219746176. Its totient is φ = 8853485760.

The previous prime is 33225200083. The next prime is 33225200131. The reversal of 33225200100 is 100252233.

It is a super-2 number, since 2×33225200100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1267729 + ... + 1293671.

Almost surely, 2^33225200100 is an apocalyptic number.

33225200100 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 33225200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52109873088).

33225200100 is an abundant number, since it is smaller than the sum of its proper divisors (70994546076).

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

33225200100 is a wasteful number, since it uses less digits than its factorization.

33225200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27386 (or 27376 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 33225200100 its reverse (100252233), we get a palindrome (33325452333).

The spelling of 33225200100 in words is "thirty-three billion, two hundred twenty-five million, two hundred thousand, one hundred".