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101221000002122 = 2711132912171432577
BaseRepresentation
bin10111000000111101011001…
…101111111011101001001010
3111021101122002112020021112112
4113000331121233323221022
5101231401102000031442
6555140141354142322
730214655512002260
oct2700753157735112
9437348075207475
10101221000002122
112a285648747720
12b4293841219a2
13446313a3466c0
141add1a0370430
15ba7ecce08082
hex5c0f59bfba4a

101221000002122 has 128 divisors (see below), whose sum is σ = 211060685283840. Its totient is φ = 35118970306560.

The previous prime is 101221000002103. The next prime is 101221000002139. The reversal of 101221000002122 is 221200000122101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101221000002097 and 101221000002106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69940298 + ... + 71372874.

It is an arithmetic number, because the mean of its divisors is an integer number (1648911603780).

Almost surely, 2101221000002122 is an apocalyptic number.

101221000002122 is an abundant number, since it is smaller than the sum of its proper divisors (109839685281718).

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

101221000002122 is a wasteful number, since it uses less digits than its factorization.

101221000002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433856.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101221000002122 its reverse (221200000122101), we get a palindrome (322421000124223).

The spelling of 101221000002122 in words is "one hundred one trillion, two hundred twenty-one billion, two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 29 58 77 91 143 154 182 203 286 319 377 406 638 754 1001 1217 2002 2233 2434 2639 4147 4466 5278 8294 8519 13387 15821 17038 26774 29029 31642 35293 58058 70586 93709 110747 174031 187418 221494 247051 348062 388223 458809 494102 776446 917618 1218217 1432577 2436434 2717561 2865154 3211663 5046899 5435122 6423326 10028039 10093798 15758347 18623501 20056078 31516694 35328293 37247002 41544733 70656586 83089466 110308429 130364507 204858511 220616858 260729014 290813131 409717022 456992063 540081529 581626262 913984126 1080163058 1434009577 1743446209 2868019154 3198944441 3486892418 3780570703 5940896819 6397888882 7561141406 11881793638 12204123463 19177908299 22664800717 24408246926 38355816598 41586277733 45329601434 50559940061 83172555466 101119880122 134245358093 158653605019 249312807887 268490716186 317307210038 353919580427 498625615774 556159340671 657279220793 707839160854 1112318681342 1314558441586 1745189655209 3490379310418 3893115384697 4600954545551 7230071428723 7786230769394 9201909091102 14460142857446 50610500001061 101221000002122