200200201202100 has 144 divisors (see below), whose sum is σ = 631949130792000. Its totient is φ = 48529964620800.

The previous prime is 200200201202077. The next prime is 200200201202173. The reversal of 200200201202100 is 1202102002002.

200200201202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200200201202100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44892894 + ... + 49150506.

It is an arithmetic number, because the mean of its divisors is an integer number (4388535630500).

Almost surely, 2^{200200201202100} is an apocalyptic number.

200200201202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200201202100 is an abundant number, since it is smaller than the sum of its proper divisors (431748929589900).

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

200200201202100 is a wasteful number, since it uses less digits than its factorization.

200200201202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271890 (or 4271883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200200201202100 its reverse (1202102002002), we get a palindrome (201402303204102).

The spelling of 200200201202100 in words is "two hundred trillion, two hundred billion, two hundred one million, two hundred two thousand, one hundred".