3000201122100 has 144 divisors (see below), whose sum is σ = 10683793221248. Its totient is φ = 633009461760.

The previous prime is 3000201122089. The next prime is 3000201122101. The reversal of 3000201122100 is 12211020003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000201122101) by changing a digit.

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, 54921439 + ... + 54976038.

Almost surely, 2^{3000201122100} is an apocalyptic number.

3000201122100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000201122100 is an abundant number, since it is smaller than the sum of its proper divisors (7683592099148).

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

3000201122100 is a wasteful number, since it uses less digits than its factorization.

3000201122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109897514 (or 109897507 counting only the distinct ones).

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

Adding to 3000201122100 its reverse (12211020003), we get a palindrome (3012412142103).

The spelling of 3000201122100 in words is "three trillion, two hundred one million, one hundred twenty-two thousand, one hundred".