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102222002010102 = 231329411427772403
BaseRepresentation
bin10111001111100001101010…
…000111100011011111110110
3111101221022212002002222120020
4113033201222013203133312
5101344301130003310402
61001224050041150010
730350203334454342
oct2717415207433766
9441838762088506
10102222002010102
112a631120237a87
12b56b38578b306
1345066550a3370
141b357dd8c8622
15bc40675ea8bc
hex5cf86a1e37f6

102222002010102 has 128 divisors (see below), whose sum is σ = 233481539612160. Its totient is φ = 29606848373760.

The previous prime is 102222002010077. The next prime is 102222002010169. The reversal of 102222002010102 is 201010200222201.

It is a congruent number.

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, 131956633 + ... + 132729035.

It is an arithmetic number, because the mean of its divisors is an integer number (1824074528220).

Almost surely, 2102222002010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222002010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116740769806080).

102222002010102 is an abundant number, since it is smaller than the sum of its proper divisors (131259537602058).

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

102222002010102 is a wasteful number, since it uses less digits than its factorization.

102222002010102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773918.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102222002010102 its reverse (201010200222201), we get a palindrome (303232202232303).

The spelling of 102222002010102 in words is "one hundred two trillion, two hundred twenty-two billion, two million, ten thousand, one hundred two".

Divisors: 1 2 3 6 13 26 29 39 41 58 78 82 87 123 174 246 377 533 754 1066 1131 1189 1427 1599 2262 2378 2854 3198 3567 4281 7134 8562 15457 18551 30914 37102 41383 46371 55653 58507 82766 92742 111306 117014 124149 175521 248298 351042 537979 760591 772403 1075958 1521182 1544806 1613937 1696703 2281773 2317209 3227874 3393406 4563546 4634418 5090109 10041239 10180218 20082478 22057139 22399687 30123717 31668523 44114278 44799374 60247434 63337046 66171417 67199061 95005569 132342834 134398122 190011138 291195931 411690799 582391862 823381598 873587793 918387167 1102219081 1235072397 1747175586 1836774334 2204438162 2470144794 2755161501 3306657243 5510323002 6613314486 11939033171 14328848053 23878066342 28657696106 31964353349 35817099513 42986544159 45190982321 63928706698 71634199026 85973088318 90381964642 95893060047 135572946963 191786120094 271145893926 415536593537 587482770173 831073187074 1174965540346 1246609780611 1310538487309 1762448310519 2493219561222 2621076974618 3524896621038 3931615461927 7863230923854 17037000335017 34074000670034 51111001005051 102222002010102