33420100100 has 72 divisors (see below), whose sum is σ = 73160713248. Its totient is φ = 13250764800.

The previous prime is 33420100093. The next prime is 33420100111. The reversal of 33420100100 is 100102433.

It is a super-2 number, since 2×33420100100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5419619 + ... + 5425781.

Almost surely, 2^33420100100 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 33420100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36580356624).

33420100100 is an abundant number, since it is smaller than the sum of its proper divisors (39740613148).

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

33420100100 is a wasteful number, since it uses less digits than its factorization.

33420100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6645 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 33420100100 its reverse (100102433), we get a palindrome (33520202533).

The spelling of 33420100100 in words is "thirty-three billion, four hundred twenty million, one hundred thousand, one hundred".