200120010000 has 800 divisors, whose sum is σ = 712059068160. Its totient is φ = 48254976000.

The previous prime is 200120009993. The next prime is 200120010017. The reversal of 200120010000 is 10021002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1460729932 + ... + 1460730068.

Almost surely, 2^200120010000 is an apocalyptic number.

200120010000 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 200120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356029534080).

200120010000 is an abundant number, since it is smaller than the sum of its proper divisors (511939058160).

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

200120010000 is a wasteful number, since it uses less digits than its factorization.

200120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200120010000 its reverse (10021002), we get a palindrome (200130031002).

It can be divided in two parts, 2001 and 20010000, that multiplied together give a square (40040010000 = 200100²).

The spelling of 200120010000 in words is "two hundred billion, one hundred twenty million, ten thousand".