200121011100020 has 48 divisors (see below), whose sum is σ = 420407238412560. Its totient is φ = 80019244486656.

The previous prime is 200121011100019. The next prime is 200121011100037. The reversal of 200121011100020 is 20001110121002.

It can be written as a sum of positive squares in 8 ways, for example, as 25347217298404 + 174773793801616 = 5034602^2 + 13220204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200121011099974 and 200121011100010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691662104 + ... + 691951376.

It is an arithmetic number, because the mean of its divisors is an integer number (8758484133595).

Almost surely, 2^{200121011100020} is an apocalyptic number.

200121011100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200121011100020 is an abundant number, since it is smaller than the sum of its proper divisors (220286227312540).

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

200121011100020 is a wasteful number, since it uses less digits than its factorization.

200121011100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301764 (or 301762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200121011100020 its reverse (20001110121002), we get a palindrome (220122121221022).

The spelling of 200121011100020 in words is "two hundred trillion, one hundred twenty-one billion, eleven million, one hundred thousand, twenty".