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101002212002202 = 23724358271371103
BaseRepresentation
bin10110111101110001101000…
…111101111100100110011010
3111020121201100211000022100020
4112331301220331330212122
5101214310012233032302
6554451435312051310
730163111653456300
oct2675615075744632
9436551324008306
10101002212002202
112a20088560a065
12b3b2aa4533b36
134448610786114
141ad2766d3c270
15ba2475323ebc
hex5bdc68f7c99a

101002212002202 has 96 divisors (see below), whose sum is σ = 240490939594752. Its totient is φ = 28181806009056.

The previous prime is 101002212002177. The next prime is 101002212002213. The reversal of 101002212002202 is 202200212200101.

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, 72979383 + ... + 74350485.

It is an arithmetic number, because the mean of its divisors is an integer number (2505113954112).

Almost surely, 2101002212002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002212002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120245469797376).

101002212002202 is an abundant number, since it is smaller than the sum of its proper divisors (139488727592550).

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

101002212002202 is a wasteful number, since it uses less digits than its factorization.

101002212002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376992 (or 1376985 counting only the distinct ones).

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

Adding to 101002212002202 its reverse (202200212200101), we get a palindrome (303202424202303).

The spelling of 101002212002202 in words is "one hundred one trillion, two billion, two hundred twelve million, two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1806 2107 4214 5827 6321 11654 12642 17481 34962 40789 81578 122367 244734 250561 285523 501122 571046 751683 856569 1371103 1503366 1713138 1753927 2742206 3507854 4113309 5261781 8226618 9597721 10523562 12277489 19195442 24554978 28793163 36832467 57586326 58957429 67184047 73664934 117914858 134368094 176872287 201552141 353744574 403104282 412702003 825404006 1238106009 2476212018 2888914021 5777828042 7989417181 8666742063 15978834362 17333484126 23968251543 47936503086 55925920267 111851840534 167777760801 335555521602 343544938783 391481441869 687089877566 782962883738 1030634816349 1174444325607 2061269632698 2348888651214 2404814571481 4809629142962 7214443714443 14428887428886 16833702000367 33667404000734 50501106001101 101002212002202