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10021102200112 = 244119988187133
BaseRepresentation
bin1001000111010011100000…
…1111001010010100110000
31022111000012211202002101111
42101310320033022110300
52303141204130400422
633151344130243104
72053000153156513
oct221647017122460
938430184662344
1010021102200112
113213a1aa40323
12115a1a6a26494
13578ca7ca4373
14269049966d7a
15125a1282ba77
hex91d383ca530

10021102200112 has 80 divisors (see below), whose sum is σ = 20012309755200. Its totient is φ = 4858201497600.

The previous prime is 10021102200103. The next prime is 10021102200121. The reversal of 10021102200112 is 21100220112001.

It is an interprime number because it is at equal distance from previous prime (10021102200103) and next prime (10021102200121).

It is a junction number, because it is equal to n+sod(n) for n = 10021102200092 and 10021102200101.

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 15 ways as a sum of consecutive naturals, for example, 114965698 + ... + 115052830.

It is an arithmetic number, because the mean of its divisors is an integer number (250153871940).

Almost surely, 210021102200112 is an apocalyptic number.

It is an amenable number.

10021102200112 is a deficient number, since it is larger than the sum of its proper divisors (9991207555088).

10021102200112 is a wasteful number, since it uses less digits than its factorization.

10021102200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88262 (or 88256 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10021102200112 its reverse (21100220112001), we get a palindrome (31121322312113).

The spelling of 10021102200112 in words is "ten trillion, twenty-one billion, one hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 41 82 164 199 328 398 656 796 881 1592 1762 3184 3524 7048 8159 14096 16318 32636 36121 65272 72242 87133 130544 144484 174266 175319 288968 348532 350638 577936 697064 701276 1394128 1402552 2805104 3572453 7144906 7188079 14289812 14376158 17339467 28579624 28752316 34678934 57159248 57504632 69357868 76764173 115009264 138715736 153528346 277431472 307056692 614113384 710918147 1228226768 1421836294 2843672588 3147331093 5687345176 6294662186 11374690352 12589324372 15276070427 25178648744 30552140854 50357297488 61104281708 122208563416 244417126832 626318887507 1252637775014 2505275550028 5010551100056 10021102200112