3200100120 has 192 divisors, whose sum is σ = 12296232000. Its totient is φ = 706212864.

The previous prime is 3200100107. The next prime is 3200100151. The reversal of 3200100120 is 210010023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 51186 + ... + 94974.

It is an arithmetic number, because the mean of its divisors is an integer number (64042875).

Almost surely, 2^3200100120 is an apocalyptic number.

3200100120 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 3200100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148116000).

3200100120 is an abundant number, since it is smaller than the sum of its proper divisors (9096131880).

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

3200100120 is a wasteful number, since it uses less digits than its factorization.

3200100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43842 (or 43835 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3200100120 is about 56569.4274321386. The cubic root of 3200100120 is about 1473.6279678473.

Adding to 3200100120 its reverse (210010023), we get a palindrome (3410110143).

The spelling of 3200100120 in words is "three billion, two hundred million, one hundred thousand, one hundred twenty".