200212121220100 has 72 divisors (see below), whose sum is σ = 474048046483200. Its totient is φ = 72790375113600.

The previous prime is 200212121220071. The next prime is 200212121220107. The reversal of 200212121220100 is 1022121212002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200212121220107) 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, 11830260 + ... + 23246059.

It is an arithmetic number, because the mean of its divisors is an integer number (6584000645600).

Almost surely, 2^{200212121220100} is an apocalyptic number.

200212121220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212121220100 is an abundant number, since it is smaller than the sum of its proper divisors (273835925263100).

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

200212121220100 is a wasteful number, since it uses less digits than its factorization.

200212121220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35081533 (or 35081526 counting only the distinct ones).

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

Adding to 200212121220100 its reverse (1022121212002), we get a palindrome (201234242432102).

The spelling of 200212121220100 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".