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102102212110122 = 2347175296307299
BaseRepresentation
bin10111001101110010000110…
…000101010110011100101010
3111101111212122201021120010000
4113031302012011112130222
5101340320312300010442
61001053035252003430
730335432666223420
oct2715620605263452
9441455581246100
10102102212110122
112a595339a34144
12b550114300576
1344c827459b543
141b2dab8433110
15bc0da5ce6d4c
hex5cdc8615672a

102102212110122 has 80 divisors (see below), whose sum is σ = 276848575185600. Its totient is φ = 27456057032832.

The previous prime is 102102212110043. The next prime is 102102212110123. The reversal of 102102212110122 is 221011212201201.

102102212110122 is a `hidden beast` number, since 1 + 0 + 210 + 221 + 2 + 110 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102102212110095 and 102102212110104.

It is not an unprimeable number, because it can be changed into a prime (102102212110123) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2648134372 + ... + 2648172927.

It is an arithmetic number, because the mean of its divisors is an integer number (3460607189820).

Almost surely, 2102102212110122 is an apocalyptic number.

102102212110122 is an abundant number, since it is smaller than the sum of its proper divisors (174746363075478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102102212110122 is a wasteful number, since it uses less digits than its factorization.

102102212110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296307337 (or 5296307328 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102102212110122 its reverse (221011212201201), we get a palindrome (323113424311323).

The spelling of 102102212110122 in words is "one hundred two trillion, one hundred two billion, two hundred twelve million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2754 3213 6426 9639 19278 5296307299 10592614598 15888921897 31777843794 37074151093 47666765691 74148302186 90037224083 95333531382 111222453279 143000297073 180074448166 222444906558 270111672249 286000594146 333667359837 429000891219 540223344498 630260568581 667334719674 810335016747 858001782438 1001002079511 1260521137162 1620670033494 1890781705743 2002004159022 2431005050241 3003006238533 3781563411486 4862010100482 5672345117229 6006012477066 7293015150723 11344690234458 14586030301446 17017035351687 34034070703374 51051106055061 102102212110122