3332100100 has 144 divisors (see below), whose sum is σ = 8730996736. Its totient is φ = 1079568000.

The previous prime is 3332100071. The next prime is 3332100139. The reversal of 3332100100 is 10012333.

It is a super-3 number, since 3×3332100100³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931315 + ... + 934885.

Almost surely, 2^3332100100 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 3332100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365498368).

3332100100 is an abundant number, since it is smaller than the sum of its proper divisors (5398896636).

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

3332100100 is a wasteful number, since it uses less digits than its factorization.

3332100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 3332100100 is about 57724.3458169948. The cubic root of 3332100100 is about 1493.6173388719.

Adding to 3332100100 its reverse (10012333), we get a palindrome (3342112433).

The spelling of 3332100100 in words is "three billion, three hundred thirty-two million, one hundred thousand, one hundred".