33212120100 has 72 divisors (see below), whose sum is σ = 96163636800. Its totient is φ = 8850122880.

The previous prime is 33212120093. The next prime is 33212120111. The reversal of 33212120100 is 102121233.

It is a super-2 number, since 2×33212120100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33212120100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380134 + ... + 459266.

Almost surely, 2^33212120100 is an apocalyptic number.

33212120100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33212120100 is an abundant number, since it is smaller than the sum of its proper divisors (62951516700).

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

33212120100 is a wasteful number, since it uses less digits than its factorization.

33212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80549 (or 80542 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33212120100 its reverse (102121233), we get a palindrome (33314241333).

The spelling of 33212120100 in words is "thirty-three billion, two hundred twelve million, one hundred twenty thousand, one hundred".