3120233102100 has 432 divisors, whose sum is σ = 10375773408000. Its totient is φ = 783114393600.

The previous prime is 3120233102087. The next prime is 3120233102123. The reversal of 3120233102100 is 12013320213.

3120233102100 is a `hidden beast` number, since 3 + 120 + 2 + 331 + 0 + 210 + 0 = 666.

It is a super-2 number, since 2×3120233102100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 164916441 + ... + 164935359.

It is an arithmetic number, because the mean of its divisors is an integer number (24017994000).

Almost surely, 2^{3120233102100} is an apocalyptic number.

3120233102100 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 3120233102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187886704000).

3120233102100 is an abundant number, since it is smaller than the sum of its proper divisors (7255540305900).

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

3120233102100 is a wasteful number, since it uses less digits than its factorization.

3120233102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19128 (or 19118 counting only the distinct ones).

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

Adding to 3120233102100 its reverse (12013320213), we get a palindrome (3132246422313).

The spelling of 3120233102100 in words is "three trillion, one hundred twenty billion, two hundred thirty-three million, one hundred two thousand, one hundred".