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21100012222122 = 23241431973375139
BaseRepresentation
bin1001100110000101110101…
…01110111011011010101010
32202201010211010112012222200
410303002322232323122222
510231200311112101442
6112513113425401030
74305265654442301
oct463027256733252
982633733465880
1021100012222122
1167a5512906759
1224493a7499176
13ba095177b122
1452d3631c7438
15268cd694d34c
hex1330babbb6aa

21100012222122 has 96 divisors (see below), whose sum is σ = 48164111835840. Its totient is φ = 6668192643840.

The previous prime is 21100012222087. The next prime is 21100012222183. The reversal of 21100012222122 is 22122221000112.

It is a happy number.

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 = 21100012222095 and 21100012222104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4564029 + ... + 7939167.

It is an arithmetic number, because the mean of its divisors is an integer number (501709498290).

Almost surely, 221100012222122 is an apocalyptic number.

21100012222122 is an abundant number, since it is smaller than the sum of its proper divisors (27064099613718).

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

21100012222122 is a wasteful number, since it uses less digits than its factorization.

21100012222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375428 (or 3375425 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21100012222122 its reverse (22122221000112), we get a palindrome (43222233222234).

The spelling of 21100012222122 in words is "twenty-one trillion, one hundred billion, twelve million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 43 82 86 123 129 197 246 258 369 387 394 591 738 774 1182 1763 1773 3526 3546 5289 8077 8471 10578 15867 16154 16942 24231 25413 31734 48462 50826 72693 76239 145386 152478 347311 694622 1041933 2083866 3125799 3375139 6251598 6750278 10125417 20250834 30376251 60752502 138380699 145130977 276761398 290261954 415142097 435392931 664902383 830284194 870785862 1245426291 1306178793 1329804766 1994707149 2490852582 2612357586 3989414298 5950370057 5984121447 11900740114 11968242894 17851110171 27260997703 28590802469 35702220342 53553330513 54521995406 57181604938 81782993109 85772407407 107106661026 163565986218 171544814814 245348979327 257317222221 490697958654 514634444442 1172222901229 2344445802458 3516668703687 7033337407374 10550006111061 21100012222122