200120102000021 has 128 divisors (see below), whose sum is σ = 242518849486848. Its totient is φ = 161565013440000.

The previous prime is 200120102000009. The next prime is 200120102000041. The reversal of 200120102000021 is 120000201021002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 200120102000021 - 2¹⁰ = 200120101998997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200120101999966 and 200120102000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120102000041) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 137918746346 + ... + 137918747796.

It is an arithmetic number, because the mean of its divisors is an integer number (1894678511616).

Almost surely, 2^{200120102000021} is an apocalyptic number.

It is an amenable number.

200120102000021 is a deficient number, since it is larger than the sum of its proper divisors (42398747486827).

200120102000021 is a wasteful number, since it uses less digits than its factorization.

200120102000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200120102000021 its reverse (120000201021002), we get a palindrome (320120303021023).

The spelling of 200120102000021 in words is "two hundred trillion, one hundred twenty billion, one hundred two million, twenty-one", and thus it is an aban number.