3000200444100 has 108 divisors (see below), whose sum is σ = 9424907118900. Its totient is φ = 798271488000.

The previous prime is 3000200443993. The next prime is 3000200444113. The reversal of 3000200444100 is 14440020003.

It can be written as a sum of positive squares in 6 ways, for example, as 233886369924 + 2766314074176 = 483618^2 + 1663224^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3308101 + ... + 4116300.

Almost surely, 2^{3000200444100} is an apocalyptic number.

3000200444100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000200444100 is an abundant number, since it is smaller than the sum of its proper divisors (6424706674800).

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

3000200444100 is a wasteful number, since it uses less digits than its factorization.

3000200444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424870 (or 7424860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 3000200444100 its reverse (14440020003), we get a palindrome (3014640464103).

The spelling of 3000200444100 in words is "three trillion, two hundred million, four hundred forty-four thousand, one hundred".