| Base | Representation |
|---|---|
| bin | 1001000110110001111111… |
| … | …0010100011001101110000 |
| 3 | 1022110010222121111020122220 |
| 4 | 2101230133302203031300 |
| 5 | 2303014241120041422 |
| 6 | 33143255103201040 |
| 7 | 2052231136531062 |
| oct | 221543762431560 |
| 9 | 38403877436586 |
| 10 | 10012102112112 |
| 11 | 3210121699a71 |
| 12 | 11584b48a6180 |
| 13 | 5781a24c2cc9 |
| 14 | 26883452b732 |
| 15 | 125687633e5c |
| hex | 91b1fca3370 |
10012102112112 has 80 divisors (see below), whose sum is σ = 26317598184960. Its totient is φ = 3278978496000.
The previous prime is 10012102112099. The next prime is 10012102112143. The reversal of 10012102112112 is 21121120121001.
It is a happy number.
10012102112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×100121021121123 (a number of 40 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10012102112091 and 10012102112100.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4118937 + ... + 6081927.
It is an arithmetic number, because the mean of its divisors is an integer number (328969977312).
Almost surely, 210012102112112 is an apocalyptic number.
10012102112112 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 10012102112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158799092480).
10012102112112 is an abundant number, since it is smaller than the sum of its proper divisors (16305496072848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10012102112112 is a wasteful number, since it uses less digits than its factorization.
10012102112112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1964862 (or 1964856 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 10012102112112 its reverse (21121120121001), we get a palindrome (31133222233113).
The spelling of 10012102112112 in words is "ten trillion, twelve billion, one hundred two million, one hundred twelve thousand, one hundred twelve".
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