200201121212200 has 96 divisors (see below), whose sum is σ = 465909818434560. Its totient is φ = 80004380544000.

The previous prime is 200201121212177. The next prime is 200201121212203. The reversal of 200201121212200 is 2212121102002.

It is a happy number.

200201121212200 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-3 number, since 3×200201121212200³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (200201121212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3661764064 + ... + 3661818736.

It is an arithmetic number, because the mean of its divisors is an integer number (4853227275360).

Almost surely, 2^{200201121212200} is an apocalyptic number.

200201121212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201121212200 is an abundant number, since it is smaller than the sum of its proper divisors (265708697222360).

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

200201121212200 is a wasteful number, since it uses less digits than its factorization.

200201121212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71747 (or 71738 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200201121212200 its reverse (2212121102002), we get a palindrome (202413242314202).

The spelling of 200201121212200 in words is "two hundred trillion, two hundred one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".