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10020010221102 = 2374313151538219
BaseRepresentation
bin1001000111001111011100…
…1001100101111000101110
31022110220101201222210210110
42101303313021211320232
52303131440104033402
633151043521320450
72052631123411320
oct221636711457056
938426351883713
1010020010221102
11321350a604332
121159b41196126
13578b629a153b
14268d84915610
1512599ba2c56c
hex91cf7265e2e

10020010221102 has 128 divisors (see below), whose sum is σ = 23621858979840. Its totient is φ = 2774060190720.

The previous prime is 10020010221073. The next prime is 10020010221127. The reversal of 10020010221102 is 20112201002001.

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, 1219123549 + ... + 1219131767.

It is an arithmetic number, because the mean of its divisors is an integer number (184545773280).

Almost surely, 210020010221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020010221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11810929489920).

10020010221102 is an abundant number, since it is smaller than the sum of its proper divisors (13601848758738).

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

10020010221102 is a wasteful number, since it uses less digits than its factorization.

10020010221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13558.

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

Adding to 10020010221102 its reverse (20112201002001), we get a palindrome (30132211223103).

The spelling of 10020010221102 in words is "ten trillion, twenty billion, ten million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 131 258 262 301 393 602 786 903 917 1806 1834 2751 5153 5502 5633 8219 10306 11266 15459 16438 16899 24657 30918 33798 36071 39431 49314 57533 72142 78862 108213 115066 118293 172599 216426 221579 236586 345198 353417 443158 664737 675043 706834 1060251 1076689 1329474 1350086 1551053 2025129 2120502 2153378 2473919 3102106 3230067 4050258 4653159 4725301 4947838 6460134 7421757 7536823 9306318 9450602 14175903 14843514 15073646 22610469 28351806 29026849 42352507 45220938 46297627 58053698 84705014 87080547 92595254 127057521 138892881 174161094 203187943 254115042 277785762 296467549 324083389 406375886 592935098 609563829 648166778 889402647 972250167 1219127658 1778805294 1821157801 1944500334 3642315602 5463473403 5548178417 10926946806 11096356834 12748104607 16644535251 25496209214 33289070502 38244313821 38837248919 76488627642 77674497838 116511746757 233023493514 238571671931 477143343862 715715015793 1431430031586 1670001703517 3340003407034 5010005110551 10020010221102