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10012210220100 = 223521128310720859
BaseRepresentation
bin1001000110110010011000…
…1110111100110001000100
31022110011021010220200221110
42101230212032330301010
52303020001304020400
633143313524245020
72052233621452524
oct221544616746104
938404233820843
1010012210220100
113210177719110
121158524b40770
135781bba1512a
14268844a2d684
15125691d8ae50
hex91b263bcc44

10012210220100 has 144 divisors (see below), whose sum is σ = 31713847683840. Its totient is φ = 2418625564800.

The previous prime is 10012210220083. The next prime is 10012210220147. The reversal of 10012210220100 is 102201221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4426530 + ... + 6294329.

It is an arithmetic number, because the mean of its divisors is an integer number (220235053360).

Almost surely, 210012210220100 is an apocalyptic number.

10012210220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012210220100 is an abundant number, since it is smaller than the sum of its proper divisors (21701637463740).

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

10012210220100 is a wasteful number, since it uses less digits than its factorization.

10012210220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721170 (or 10721163 counting only the distinct ones).

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

Adding to 10012210220100 its reverse (102201221001), we get a palindrome (10114411441101).

The spelling of 10012210220100 in words is "ten trillion, twelve billion, two hundred ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 283 300 330 550 566 660 825 849 1100 1132 1415 1650 1698 2830 3113 3300 3396 4245 5660 6226 7075 8490 9339 12452 14150 15565 16980 18678 21225 28300 31130 37356 42450 46695 62260 77825 84900 93390 155650 186780 233475 311300 466950 933900 10720859 21441718 32162577 42883436 53604295 64325154 107208590 117929449 128650308 160812885 214417180 235858898 268021475 321625770 353788347 471717796 536042950 589647245 643251540 707576694 804064425 1072085900 1179294490 1415153388 1608128850 1768941735 2358588980 2948236225 3034003097 3216257700 3537883470 5896472450 6068006194 7075766940 8844708675 9102009291 11792944900 12136012388 15170015485 17689417350 18204018582 30340030970 33374034067 35378834700 36408037164 45510046455 60680061940 66748068134 75850077425 91020092910 100122102201 133496136268 151700154850 166870170335 182040185820 200244204402 227550232275 303400309700 333740340670 400488408804 455100464550 500610511005 667480681340 834350851675 910200929100 1001221022010 1668701703350 2002442044020 2503052555025 3337403406700 5006105110050 10012210220100