200121322100100 has 432 divisors, whose sum is σ = 602404086170880. Its totient is φ = 51286017024000.

The previous prime is 200121322100087. The next prime is 200121322100137. The reversal of 200121322100100 is 1001223121002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200121322100100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12163203474 + ... + 12163219926.

Almost surely, 2^{200121322100100} is an apocalyptic number.

200121322100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200121322100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301202043085440).

200121322100100 is an abundant number, since it is smaller than the sum of its proper divisors (402282764070780).

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

200121322100100 is a wasteful number, since it uses less digits than its factorization.

200121322100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912 (or 16864 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 200121322100100 its reverse (1001223121002), we get a palindrome (201122545221102).

The spelling of 200121322100100 in words is "two hundred trillion, one hundred twenty-one billion, three hundred twenty-two million, one hundred thousand, one hundred".