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102222210121122 = 23713379675232683
BaseRepresentation
bin10111001111100001110110…
…100001011011110110100010
3111101221100101120201010012210
4113033201312201123312202
5101344302041242333442
61001224122433502550
730350211442413120
oct2717416641336642
9441840346633183
10102222210121122
112a63121775a963
12b56b423411a56
13450668923a490
141b3581d3bc910
15bc407aa0819c
hex5cf87685bda2

102222210121122 has 128 divisors (see below), whose sum is σ = 258691840856064. Its totient is φ = 26203931889408.

The previous prime is 102222210121103. The next prime is 102222210121123. The reversal of 102222210121122 is 221121012222201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102222210121123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16918993 + ... + 22151675.

It is an arithmetic number, because the mean of its divisors is an integer number (2021030006688).

Almost surely, 2102222210121122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222210121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129345920428032).

102222210121122 is an abundant number, since it is smaller than the sum of its proper divisors (156469630734942).

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

102222210121122 is a wasteful number, since it uses less digits than its factorization.

102222210121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233712.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102222210121122 its reverse (221121012222201), we get a palindrome (323343222343323).

The spelling of 102222210121122 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 967 1443 1554 1934 2886 2901 3367 5802 6734 6769 10101 12571 13538 20202 20307 25142 35779 37713 40614 71558 75426 87997 107337 175994 214674 250453 263991 465127 500906 527982 751359 930254 1395381 1502718 2790762 3255889 5232683 6511778 9767667 10465366 15698049 19535334 31396098 36628781 68024879 73257562 109886343 136049758 193609271 204074637 219772686 387218542 408149274 476174153 580827813 952348306 1161655626 1355264897 1428522459 2516920523 2710529794 2857044918 4065794691 5033841046 5060004461 7550761569 8131589382 10120008922 15101523138 15180013383 17618443661 30360026766 35236887322 35420031227 52855330983 65780057993 70840062454 105710661966 106260093681 131560115986 187220165057 197340173979 212520187362 374440330114 394680347958 460460405951 561660495171 920920811902 1123320990342 1310541155399 1381381217853 2433862145741 2621082310798 2762762435706 3931623466197 4867724291482 7301586437223 7863246932394 14603172874446 17037035020187 34074070040374 51111105060561 102222210121122