| Base | Representation |
|---|---|
| bin | 10111001111011000010111… |
| … | …001101011010001010010000 |
| 3 | 111101220101002111021021111120 |
| 4 | 113033120113031122022100 |
| 5 | 101344120204400214300 |
| 6 | 1001215315415442240 |
| 7 | 30346401111234513 |
| oct | 2717302715321220 |
| 9 | 441811074237446 |
| 10 | 102212021101200 |
| 11 | 2a62796928243a |
| 12 | b56945b086380 |
| 13 | 450572433b6ca |
| 14 | 1b351340d4d7a |
| 15 | bc3b8125e3a0 |
| hex | 5cf61735a290 |
102212021101200 has 240 divisors, whose sum is σ = 330741759297600. Its totient is φ = 26981193943040.
The previous prime is 102212021101181. The next prime is 102212021101249. The reversal of 102212021101200 is 2101120212201.
It is a tau number, because it is divible by the number of its divisors (240).
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 102212021101200.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51412879 + ... + 53363921.
It is an arithmetic number, because the mean of its divisors is an integer number (1378090663740).
Almost surely, 2102212021101200 is an apocalyptic number.
102212021101200 is a gapful number since it is divisible by the number (10) 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 102212021101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165370879648800).
102212021101200 is an abundant number, since it is smaller than the sum of its proper divisors (228529738196400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102212021101200 is a wasteful number, since it uses less digits than its factorization.
102212021101200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1951506 (or 1951495 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 102212021101200 its reverse (2101120212201), we get a palindrome (104313141313401).
The spelling of 102212021101200 in words is "one hundred two trillion, two hundred twelve billion, twenty-one million, one hundred one thousand, two hundred".
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