| Base | Representation |
|---|---|
| bin | 101110101010001100… |
| … | …1100000010111011000 |
| 3 | 100120122010101120121201 |
| 4 | 1131110121200113120 |
| 5 | 3120202224020440 |
| 6 | 114010434243544 |
| 7 | 10145024550430 |
| oct | 1352431402730 |
| 9 | 316563346551 |
| 10 | 100200220120 |
| 11 | 39549459480 |
| 12 | 17504a265b4 |
| 13 | 95ab142ca0 |
| 14 | 4bc789d2c0 |
| 15 | 2916ad919a |
| hex | 17546605d8 |
100200220120 has 256 divisors, whose sum is σ = 305835264000. Its totient is φ = 28530524160.
The previous prime is 100200220117. The next prime is 100200220121. The reversal of 100200220120 is 21022002001.
It is a super-2 number, since 2×1002002201202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 100200220097 and 100200220106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100200220121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3870981 + ... + 3896779.
It is an arithmetic number, because the mean of its divisors is an integer number (1194669000).
Almost surely, 2100200220120 is an apocalyptic number.
100200220120 is a gapful number since it is divisible by the number (10) 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 100200220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152917632000).
100200220120 is an abundant number, since it is smaller than the sum of its proper divisors (205635043880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100200220120 is a wasteful number, since it uses less digits than its factorization.
100200220120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25938 (or 25934 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 100200220120 its reverse (21022002001), we get a palindrome (121222222121).
The spelling of 100200220120 in words is "one hundred billion, two hundred million, two hundred twenty thousand, one hundred twenty".
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