3120020201100 has 576 divisors, whose sum is σ = 10292173258752. Its totient is φ = 723086208000.

The previous prime is 3120020201099. The next prime is 3120020201101. The reversal of 3120020201100 is 11020200213.

It is an interprime number because it is at equal distance from previous prime (3120020201099) and next prime (3120020201101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3120020201101) 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 191 ways as a sum of consecutive naturals, for example, 1711474789 + ... + 1711476611.

It is an arithmetic number, because the mean of its divisors is an integer number (17868356352).

Almost surely, 2^{3120020201100} is an apocalyptic number.

3120020201100 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 3120020201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146086629376).

3120020201100 is an abundant number, since it is smaller than the sum of its proper divisors (7172153057652).

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

3120020201100 is a wasteful number, since it uses less digits than its factorization.

3120020201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 3120020201100 its reverse (11020200213), we get a palindrome (3131040401313).

The spelling of 3120020201100 in words is "three trillion, one hundred twenty billion, twenty million, two hundred one thousand, one hundred".