3120010100100 has 432 divisors, whose sum is σ = 10913545377280. Its totient is φ = 742166323200.

The previous prime is 3120010100071. The next prime is 3120010100101. The reversal of 3120010100100 is 10010100213.

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

It is not an unprimeable number, because it can be changed into a prime (3120010100101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19534164 + ... + 19693236.

Almost surely, 2^{3120010100100} is an apocalyptic number.

3120010100100 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 3120010100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456772688640).

3120010100100 is an abundant number, since it is smaller than the sum of its proper divisors (7793535277180).

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

3120010100100 is a wasteful number, since it uses less digits than its factorization.

3120010100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159180 (or 159170 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 3120010100100 its reverse (10010100213), we get a palindrome (3130020200313).

The spelling of 3120010100100 in words is "three trillion, one hundred twenty billion, ten million, one hundred thousand, one hundred".