| Base | Representation |
|---|---|
| bin | 101111000010000010… |
| … | …0110110000010000100 |
| 3 | 100122200212112012112200 |
| 4 | 1132010010312002010 |
| 5 | 3123322012011322 |
| 6 | 114222050514500 |
| 7 | 10203606525501 |
| oct | 1360404660204 |
| 9 | 318625465480 |
| 10 | 101000110212 |
| 11 | 39919a24771 |
| 12 | 176a8895a30 |
| 13 | 96a7a87b31 |
| 14 | 4c61bda4a8 |
| 15 | 2961e3d8ac |
| hex | 1784136084 |
101000110212 has 36 divisors (see below), whose sum is σ = 255516419340. Its totient is φ = 33638933952.
The previous prime is 101000110207. The next prime is 101000110213. The reversal of 101000110212 is 212011000101.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 4593586176 + 96406524036 = 67776^2 + 310494^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×1010001102122 (a number of 23 digits) contains 22 as substring.
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 = 101000110194 and 101000110203.
It is not an unprimeable number, because it can be changed into a prime (101000110213) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1112787 + ... + 1200122.
It is an arithmetic number, because the mean of its divisors is an integer number (7097678315).
Almost surely, 2101000110212 is an apocalyptic number.
101000110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
101000110212 is an abundant number, since it is smaller than the sum of its proper divisors (154516309128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101000110212 is a wasteful number, since it uses less digits than its factorization.
101000110212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2314132 (or 2314127 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 101000110212 its reverse (212011000101), we get a palindrome (313011110313).
The spelling of 101000110212 in words is "one hundred one billion, one hundred ten thousand, two hundred twelve".
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