200120100010000 has 200 divisors, whose sum is σ = 485696320926080. Its totient is φ = 79852303872000.

The previous prime is 200120100009919. The next prime is 200120100010001. The reversal of 200120100010000 is 10001021002.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (200120100010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15433023517 + ... + 15433036483.

Almost surely, 2^{200120100010000} is an apocalyptic number.

200120100010000 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 200120100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242848160463040).

200120100010000 is an abundant number, since it is smaller than the sum of its proper divisors (285576220916080).

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

200120100010000 is a wasteful number, since it uses less digits than its factorization.

200120100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16651 (or 16630 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200120100010000 its reverse (10001021002), we get a palindrome (200130101031002).

The spelling of 200120100010000 in words is "two hundred trillion, one hundred twenty billion, one hundred million, ten thousand".