| Base | Representation |
|---|---|
| bin | 10111000000110100001100… |
| … | …011000001100101011010100 |
| 3 | 111021100200120102012201220120 |
| 4 | 113000310030120030223110 |
| 5 | 101231220324133001322 |
| 6 | 555131424252031540 |
| 7 | 30214155464243334 |
| oct | 2700641430145324 |
| 9 | 437320512181816 |
| 10 | 101211112000212 |
| 11 | 2a281434179515 |
| 12 | b4274847625b0 |
| 13 | 4462222910bb6 |
| 14 | 1adc9030430c4 |
| 15 | ba7aeecbea5c |
| hex | 5c0d0c60cad4 |
101211112000212 has 192 divisors, whose sum is σ = 260143058681856. Its totient is φ = 30528836997120.
The previous prime is 101211112000199. The next prime is 101211112000247. The reversal of 101211112000212 is 212000211112101.
It is a happy number.
It is a super-2 number, since 2×1012111120002122 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 101211112000191 and 101211112000200.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69861433 + ... + 71295455.
It is an arithmetic number, because the mean of its divisors is an integer number (1354911763968).
Almost surely, 2101211112000212 is an apocalyptic number.
101211112000212 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 101211112000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130071529340928).
101211112000212 is an abundant number, since it is smaller than the sum of its proper divisors (158931946681644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101211112000212 is a wasteful number, since it uses less digits than its factorization.
101211112000212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1434270 (or 1434268 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 101211112000212 its reverse (212000211112101), we get a palindrome (313211323112313).
The spelling of 101211112000212 in words is "one hundred one trillion, two hundred eleven billion, one hundred twelve million, two hundred twelve", and thus it is an aban number.
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