33321104100 has 108 divisors (see below), whose sum is σ = 104509485444. Its totient is φ = 8879984640.

The previous prime is 33321104077. The next prime is 33321104101. The reversal of 33321104100 is 140112333.

It can be written as a sum of positive squares in 6 ways, for example, as 1941107364 + 31379996736 = 44058^2 + 177144^2 .

It is a super-2 number, since 2×33321104100² (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 not an unprimeable number, because it can be changed into a prime (33321104101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1516392 + ... + 1538208.

Almost surely, 2^33321104100 is an apocalyptic number.

33321104100 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 33321104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254742722).

33321104100 is an abundant number, since it is smaller than the sum of its proper divisors (71188381344).

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

33321104100 is a wasteful number, since it uses less digits than its factorization.

33321104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23534 (or 23524 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33321104100 its reverse (140112333), we get a palindrome (33461216433).

The spelling of 33321104100 in words is "thirty-three billion, three hundred twenty-one million, one hundred four thousand, one hundred".