33032121010100 has 144 divisors (see below), whose sum is σ = 75652400311488. Its totient is φ = 12502867829760.

The previous prime is 33032121010067. The next prime is 33032121010103. The reversal of 33032121010100 is 101012123033.

It is a super-2 number, since 2×33032121010100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33032121010103) 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, 36624767 + ... + 37515833.

It is an arithmetic number, because the mean of its divisors is an integer number (525363891052).

Almost surely, 2^{33032121010100} 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 33032121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37826200155744).

33032121010100 is an abundant number, since it is smaller than the sum of its proper divisors (42620279301388).

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

33032121010100 is a wasteful number, since it uses less digits than its factorization.

33032121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891394 (or 891387 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 33032121010100 its reverse (101012123033), we get a palindrome (33133133133133).

The spelling of 33032121010100 in words is "thirty-three trillion, thirty-two billion, one hundred twenty-one million, ten thousand, one hundred".