| Base | Representation |
|---|---|
| bin | 101110101010001110… |
| … | …0100001011101000100 |
| 3 | 100120122011212202112000 |
| 4 | 1131110130201131010 |
| 5 | 3120202424323022 |
| 6 | 114010503225300 |
| 7 | 10145034353304 |
| oct | 1352434413504 |
| 9 | 316564782460 |
| 10 | 100201011012 |
| 11 | 39549949703 |
| 12 | 17505148230 |
| 13 | 95ab35bc7b |
| 14 | 4bc7a27604 |
| 15 | 2916be36ac |
| hex | 1754721744 |
100201011012 has 96 divisors (see below), whose sum is σ = 263519961600. Its totient is φ = 32920992000.
The previous prime is 100201010957. The next prime is 100201011019. The reversal of 100201011012 is 210110102001.
It is a happy number.
100201011012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 100201010985 and 100201011003.
It is not an unprimeable number, because it can be changed into a prime (100201011019) 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 31 ways as a sum of consecutive naturals, for example, 5117962 + ... + 5137502.
It is an arithmetic number, because the mean of its divisors is an integer number (2744999600).
Almost surely, 2100201011012 is an apocalyptic number.
100201011012 is a gapful number since it is divisible by the number (12) 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 100201011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131759980800).
100201011012 is an abundant number, since it is smaller than the sum of its proper divisors (163318950588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100201011012 is a wasteful number, since it uses less digits than its factorization.
100201011012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20234 (or 20226 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 100201011012 its reverse (210110102001), we get a palindrome (310311113013).
The spelling of 100201011012 in words is "one hundred billion, two hundred one million, eleven thousand, twelve".
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