200212021100100 has 72 divisors (see below), whose sum is σ = 579487818530880. Its totient is φ = 53370729054080.

The previous prime is 200212021100011. The next prime is 200212021100183. The reversal of 200212021100100 is 1001120212002.

It is a super-3 number, since 3×200212021100100³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118807152 + ... + 120480551.

It is an arithmetic number, because the mean of its divisors is an integer number (8048441924040).

Almost surely, 2^{200212021100100} is an apocalyptic number.

200212021100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212021100100 is an abundant number, since it is smaller than the sum of its proper divisors (379275797430780).

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

200212021100100 is a wasteful number, since it uses less digits than its factorization.

200212021100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239290509 (or 239290502 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200212021100100 its reverse (1001120212002), we get a palindrome (201213141312102).

The spelling of 200212021100100 in words is "two hundred trillion, two hundred twelve billion, twenty-one million, one hundred thousand, one hundred".