33021220104 has 160 divisors (see below), whose sum is σ = 98044107480. Its totient is φ = 10347595776.

The previous prime is 33021220081. The next prime is 33021220109. The reversal of 33021220104 is 40102212033.

33021220104 is a `hidden beast` number, since 330 + 212 + 20 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29308755204 + 3712464900 = 171198^2 + 60930^2 .

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 (33021220109) 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 39 ways as a sum of consecutive naturals, for example, 17591614 + ... + 17593490.

Almost surely, 2^33021220104 is an apocalyptic number.

33021220104 is a gapful number since it is divisible by the number (34) 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 33021220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49022053740).

33021220104 is an abundant number, since it is smaller than the sum of its proper divisors (65022887376).

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

33021220104 is a wasteful number, since it uses less digits than its factorization.

33021220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33021220104 its reverse (40102212033), we get a palindrome (73123432137).

The spelling of 33021220104 in words is "thirty-three billion, twenty-one million, two hundred twenty thousand, one hundred four".