| Base | Representation |
|---|---|
| bin | 110010010001011101011111… |
| … | …011001101011111111100100 |
| 3 | 1001222212011111000020122001220 |
| 4 | 302101131133121223333210 |
| 5 | 212440014322313000400 |
| 6 | 2102124543014220340 |
| 7 | 64400052114632400 |
| oct | 6221353731537744 |
| 9 | 1058764430218056 |
| 10 | 221102222000100 |
| 11 | 644a4a202179a1 |
| 12 | 2096b1129546b0 |
| 13 | 964ab087b312c |
| 14 | 3c855944b2100 |
| 15 | 1a865999db7a0 |
| hex | c9175f66bfe4 |
221102222000100 has 216 divisors, whose sum is σ = 744218214048288. Its totient is φ = 50534166412800.
The previous prime is 221102222000081. The next prime is 221102222000111. The reversal of 221102222000100 is 1000222201122.
It is a super-5 number, since 5×2211022220001005 (a number of 73 digits) contains 55555 as substring.
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 221102222000100.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215769955 + ... + 216792245.
It is an arithmetic number, because the mean of its divisors is an integer number (3445454694668).
Almost surely, 2221102222000100 is an apocalyptic number.
221102222000100 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 221102222000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372109107024144).
221102222000100 is an abundant number, since it is smaller than the sum of its proper divisors (523115992048188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221102222000100 is a wasteful number, since it uses less digits than its factorization.
221102222000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1037035 (or 1037021 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 221102222000100 its reverse (1000222201122), we get a palindrome (222102444201222).
The spelling of 221102222000100 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty-two million, one hundred", and thus it is an aban number.
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