33042021100 has 144 divisors (see below), whose sum is σ = 82950690816. Its totient is φ = 11290752000.

The previous prime is 33042021091. The next prime is 33042021101. The reversal of 33042021100 is 112024033.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (33042021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18530809 + ... + 18532591.

It is an arithmetic number, because the mean of its divisors is an integer number (576046464).

Almost surely, 2^33042021100 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 33042021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41475345408).

33042021100 is an abundant number, since it is smaller than the sum of its proper divisors (49908669716).

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

33042021100 is a wasteful number, since it uses less digits than its factorization.

33042021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 33042021100 its reverse (112024033), we get a palindrome (33154045133).

The spelling of 33042021100 in words is "thirty-three billion, forty-two million, twenty-one thousand, one hundred".