| Base | Representation |
|---|---|
| bin | 1011101001100000100… |
| … | …1110010110111100100 |
| 3 | 201010112210100021210000 |
| 4 | 2322120021302313210 |
| 5 | 11234322011400400 |
| 6 | 231533455501300 |
| 7 | 20313122064033 |
| oct | 2723011626744 |
| 9 | 633483307700 |
| 10 | 200121200100 |
| 11 | 77964222678 |
| 12 | 32950227830 |
| 13 | 15b43476403 |
| 14 | 998623071a |
| 15 | 5313e15600 |
| hex | 2e98272de4 |
200121200100 has 540 divisors, whose sum is σ = 702555713244. Its totient is φ = 49248276480.
The previous prime is 200121200063. The next prime is 200121200107. The reversal of 200121200100 is 1002121002.
200121200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 18 ways, for example, as 38550966336 + 161570233764 = 196344^2 + 401958^2 .
It is a tau number, because it is divible by the number of its divisors (540).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (200121200107) 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 179 ways as a sum of consecutive naturals, for example, 124066894 + ... + 124068506.
Almost surely, 2200121200100 is an apocalyptic number.
200121200100 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 200121200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351277856622).
200121200100 is an abundant number, since it is smaller than the sum of its proper divisors (502434513144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200121200100 is a wasteful number, since it uses less digits than its factorization.
200121200100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1726 (or 1693 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 200121200100 its reverse (1002121002), we get a palindrome (201123321102).
The spelling of 200121200100 in words is "two hundred billion, one hundred twenty-one million, two hundred thousand, one hundred".
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