200200121020128 has 96 divisors (see below), whose sum is σ = 534114010886400. Its totient is φ = 65646932664320.

The previous prime is 200200121020103. The next prime is 200200121020129. The reversal of 200200121020128 is 821020121002002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×200200121020128² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200121020129) 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 15 ways as a sum of consecutive naturals, for example, 29647950 + ... + 35768717.

It is an arithmetic number, because the mean of its divisors is an integer number (5563687613400).

Almost surely, 2^{200200121020128} is an apocalyptic number.

It is an amenable number.

200200121020128 is an abundant number, since it is smaller than the sum of its proper divisors (333913889866272).

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

200200121020128 is a wasteful number, since it uses less digits than its factorization.

200200121020128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65417200 (or 65417192 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 200200121020128 in words is "two hundred trillion, two hundred billion, one hundred twenty-one million, twenty thousand, one hundred twenty-eight".