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100100012222122 = 211217267101211507
BaseRepresentation
bin10110110000101001011001…
…101010111010011010101010
3111010102110121221221211010121
4112300221121222322122222
5101110014311112101442
6552521151043433454
730040662422043613
oct2660513152723252
9433373557854117
10100100012222122
11299931a432aa00
12b28807768588a
1343b15103447c3
141aa0c1b734c0a
15b88c6eb20967
hex5b0a59aba6aa

100100012222122 has 144 divisors (see below), whose sum is σ = 179699618143584. Its totient is φ = 41766512832000.

The previous prime is 100100012222099. The next prime is 100100012222131. The reversal of 100100012222122 is 221222210001001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100100012222096 and 100100012222105.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 473164693 + ... + 473376199.

It is an arithmetic number, because the mean of its divisors is an integer number (1247914014886).

Almost surely, 2100100012222122 is an apocalyptic number.

100100012222122 is a deficient number, since it is larger than the sum of its proper divisors (79599605921462).

100100012222122 is a wasteful number, since it uses less digits than its factorization.

100100012222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211733 (or 211705 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100100012222122 its reverse (221222210001001), we get a palindrome (321322222223123).

The spelling of 100100012222122 in words is "one hundred trillion, one hundred billion, twelve million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 17 22 34 67 101 121 134 187 202 242 289 374 578 737 1111 1139 1474 1717 2057 2222 2278 3179 3434 4114 6358 6767 8107 12221 12529 13534 16214 18887 19363 24442 25058 29189 34969 37774 38726 58378 69938 74437 115039 137819 148874 207757 211507 212993 230078 275638 321079 415514 423014 425986 642158 818807 1265429 1637614 1955663 2326577 2342923 2530858 3531869 3595619 3911326 4653154 4685846 7063738 7191238 13919719 14170969 21362207 21512293 25592347 27839438 28341938 39551809 42724414 43024586 51184694 61125523 79103618 122251046 155880659 234984277 236635223 240906473 311761318 363157519 435069899 469968554 473270446 481812946 672380753 726315038 870139798 1344761506 1431267869 1714687249 2584827047 2649971203 2862535738 3429374498 3994732709 4095410041 5169654094 5299942406 6173677823 7396188283 7989465418 8190820082 12347355646 14792376566 15743946559 24331553773 29149683233 31487893118 43942059799 45049510451 48663107546 58299366466 67910456053 87884119598 90099020902 135820912106 173183412149 267647091503 346366824298 413636414141 495544614961 535294183006 747015016583 827272828282 991089229922 1494030033166 2944118006533 4550000555551 5888236013066 9100001111102 50050006111061 100100012222122