3332010000100 has 36 divisors (see below), whose sum is σ = 7230546785700. Its totient is φ = 1332788316160.

The previous prime is 3332010000091. The next prime is 3332010000101. The reversal of 3332010000100 is 10000102333.

It can be written as a sum of positive squares in 6 ways, for example, as 401155023424 + 2930854976676 = 633368^2 + 1711974^2 .

It is a super-2 number, since 2×3332010000100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3332010000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12319116 + ... + 12586684.

It is an arithmetic number, because the mean of its divisors is an integer number (200848521825).

Almost surely, 2^{3332010000100} is an apocalyptic number.

It is an amenable number.

3332010000100 is an abundant number, since it is smaller than the sum of its proper divisors (3898536785600).

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

3332010000100 is a wasteful number, since it uses less digits than its factorization.

3332010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392112 (or 392105 counting only the distinct ones).

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

Adding to 3332010000100 its reverse (10000102333), we get a palindrome (3342010102433).

The spelling of 3332010000100 in words is "three trillion, three hundred thirty-two billion, ten million, one hundred", and thus it is an aban number.