| Base | Representation |
|---|---|
| bin | 110000001110110000001001… |
| … | …011000000010101001100100 |
| 3 | 1000211001110210122212002010020 |
| 4 | 300032300021120002221210 |
| 5 | 210300333231020041400 |
| 6 | 2031050330025155140 |
| 7 | 62452110252420255 |
| oct | 6016601130025144 |
| 9 | 1024043718762106 |
| 10 | 212120002112100 |
| 11 | 61651651265105 |
| 12 | 1b95a33b62bab0 |
| 13 | 9148aa4425294 |
| 14 | 3a5493cd38b2c |
| 15 | 197cadc2312a0 |
| hex | c0ec09602a64 |
212120002112100 has 576 divisors, whose sum is σ = 649218639347712. Its totient is φ = 53414028288000.
The previous prime is 212120002112093. The next prime is 212120002112107. The reversal of 212120002112100 is 1211200021212.
It is an interprime number because it is at equal distance from previous prime (212120002112093) and next prime (212120002112107).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 212120002112100.
It is not an unprimeable number, because it can be changed into a prime (212120002112107) 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 191 ways as a sum of consecutive naturals, for example, 21463113759 + ... + 21463123641.
It is an arithmetic number, because the mean of its divisors is an integer number (1127115693312).
Almost surely, 2212120002112100 is an apocalyptic number.
212120002112100 is a gapful number since it is divisible by the number (20) 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 212120002112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324609319673856).
212120002112100 is an abundant number, since it is smaller than the sum of its proper divisors (437098637235612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212120002112100 is a wasteful number, since it uses less digits than its factorization.
212120002112100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10396 (or 10389 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 212120002112100 its reverse (1211200021212), we get a palindrome (213331202133312).
The spelling of 212120002112100 in words is "two hundred twelve trillion, one hundred twenty billion, two million, one hundred twelve thousand, one hundred".
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