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10010202100122 = 2372374159221261
BaseRepresentation
bin1001000110101010111010…
…0010100101000110011010
31022102222002012021122012110
42101222232202211012122
52303001343214200442
633142342351253150
72052133065641400
oct221525642450632
938388065248173
1010010202100122
11320a337135924
12115806451a1b6
13577c5b986b63
142686d405d470
151255c592269c
hex91aae8a519a

10010202100122 has 96 divisors (see below), whose sum is σ = 23924334320640. Its totient is φ = 2782077217920.

The previous prime is 10010202100121. The next prime is 10010202100139. The reversal of 10010202100122 is 22100120201001.

It is a junction number, because it is equal to n+sod(n) for n = 10010202100098 and 10010202100107.

It is not an unprimeable number, because it can be changed into a prime (10010202100121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45130972 + ... + 45352232.

It is an arithmetic number, because the mean of its divisors is an integer number (249211815840).

Almost surely, 210010202100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010202100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11962167160320).

10010202100122 is an abundant number, since it is smaller than the sum of its proper divisors (13914132220518).

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

10010202100122 is a wasteful number, since it uses less digits than its factorization.

10010202100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225476 (or 225469 counting only the distinct ones).

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

Adding to 10010202100122 its reverse (22100120201001), we get a palindrome (32110322301123).

The spelling of 10010202100122 in words is "ten trillion, ten billion, two hundred two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 3626 4159 5439 8318 10878 12477 24954 29113 58226 87339 153883 174678 203791 221261 307766 407582 442522 461649 611373 663783 923298 1077181 1222746 1327566 1548827 2154362 3097654 3231543 4646481 6463086 7540267 8186657 9292962 10841789 15080534 16373314 21683578 22620801 24559971 32525367 45241602 49119942 57306599 65050734 114613198 171919797 343839594 401146193 802292386 920224499 1203438579 1840448998 2406877158 2760673497 5521346994 6441571493 12883142986 19324714479 34048306463 38649428958 45091000451 68096612926 90182000902 102144919389 135273001353 204289838778 238338145241 270546002706 476676290482 715014435723 1430028871446 1668367016687 3336734033374 5005101050061 10010202100122