| Base | Representation |
|---|---|
| bin | 10110101111010110100111… |
| … | …010010011000011011111000 |
| 3 | 111010002222011220202012021110 |
| 4 | 112233112213102120123320 |
| 5 | 101102040233221213422 |
| 6 | 552412250241040320 |
| 7 | 30031364534350143 |
| oct | 2657264722303370 |
| 9 | 433088156665243 |
| 10 | 100011120101112 |
| 11 | 29959529015790 |
| 12 | b2729a99260a0 |
| 13 | 43a6014c0152c |
| 14 | 1a9a7c7a2705a |
| 15 | b867bab8460c |
| hex | 5af5a74986f8 |
100011120101112 has 512 divisors, whose sum is σ = 292800020520960. Its totient is φ = 28178979840000.
The previous prime is 100011120101111. The next prime is 100011120101183. The reversal of 100011120101112 is 211101021110001.
100011120101112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1000111201011122 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100011120101111) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12141688258 + ... + 12141696494.
It is an arithmetic number, because the mean of its divisors is an integer number (571875040080).
Almost surely, 2100011120101112 is an apocalyptic number.
100011120101112 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 100011120101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146400010260480).
100011120101112 is an abundant number, since it is smaller than the sum of its proper divisors (192788900419848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100011120101112 is a wasteful number, since it uses less digits than its factorization.
100011120101112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8823 (or 8819 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 12.
Adding to 100011120101112 its reverse (211101021110001), we get a palindrome (311112141211113).
The spelling of 100011120101112 in words is "one hundred trillion, eleven billion, one hundred twenty million, one hundred one thousand, one hundred twelve".
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