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2002101021102 = 2371341471902881
BaseRepresentation
bin11101001000100110100…
…001010010100110101110
321002101202212021210002110
4131020212201102212232
5230300300330133402
64131430313104450
7264434633614020
oct35104641224656
97071685253073
102002101021102
117020a4917066
1228402b6b8126
13116a4991bc20
146cc8b924010
153712c69756c
hex1d2268529ae

2002101021102 has 128 divisors (see below), whose sum is σ = 5155866390528. Its totient is φ = 504187084800.

The previous prime is 2002101021029. The next prime is 2002101021139. The reversal of 2002101021102 is 2011201012002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100702 + ... + 2003582.

It is an arithmetic number, because the mean of its divisors is an integer number (40280206176).

Almost surely, 22002101021102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002101021102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577933195264).

2002101021102 is an abundant number, since it is smaller than the sum of its proper divisors (3153765369426).

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

2002101021102 is a wasteful number, since it uses less digits than its factorization.

2002101021102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902994.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002101021102 its reverse (2011201012002), we get a palindrome (4013302033104).

The spelling of 2002101021102 in words is "two trillion, two billion, one hundred one million, twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 47 78 82 91 94 123 141 182 246 273 282 287 329 533 546 574 611 658 861 987 1066 1222 1599 1722 1833 1927 1974 3198 3666 3731 3854 4277 5781 7462 8554 11193 11562 12831 13489 22386 25051 25662 26978 40467 50102 75153 80934 150306 175357 350714 526071 1052142 1902881 3805762 5708643 11417286 13320167 24737453 26640334 39960501 49474906 74212359 78018121 79921002 89435407 148424718 156036242 173162171 178870814 234054363 268306221 346324342 468108726 519486513 536612442 546126847 626047849 1014235573 1038973026 1092253694 1162660291 1252095698 1638380541 1878143547 2028471146 2325320582 3042706719 3276761082 3487980873 3666851687 3756287094 6085413438 6975961746 7099649011 7333703374 8138622037 11000555061 14199298022 16277244074 21298947033 22001110122 24415866111 25667961809 42597894066 47669071931 48831732222 51335923618 77003885427 95338143862 143007215793 154007770854 286014431586 333683503517 667367007034 1001050510551 2002101021102