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102100012022210 = 251731839155314869
BaseRepresentation
bin10111001101110000000010…
…111100101011100111000010
3111101111122222101102111212112
4113031300002330223213002
5101340301311034202320
61001052033100255322
730335324322620066
oct2715600274534702
9441448871374775
10102100012022210
112a594410054574
12b54b7bb541542
1344c7cb3838b87
141b2d94a171aa6
15bc0cc7aadec5
hex5cdc02f2b9c2

102100012022210 has 128 divisors (see below), whose sum is σ = 201250170777600. Its totient is φ = 37126970818560.

The previous prime is 102100012022189. The next prime is 102100012022231. The reversal of 102100012022210 is 12220210001201.

It is an interprime number because it is at equal distance from previous prime (102100012022189) and next prime (102100012022231).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6866628656 + ... + 6866643524.

It is an arithmetic number, because the mean of its divisors is an integer number (1572266959200).

Almost surely, 2102100012022210 is an apocalyptic number.

102100012022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100012022210 is a deficient number, since it is larger than the sum of its proper divisors (99150158755390).

102100012022210 is a wasteful number, since it uses less digits than its factorization.

102100012022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17316.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102100012022210 its reverse (12220210001201), we get a palindrome (114320222023411).

The spelling of 102100012022210 in words is "one hundred two trillion, one hundred billion, twelve million, twenty-two thousand, two hundred ten".

Divisors: 1 2 5 10 17 31 34 62 85 155 170 310 527 839 1054 1553 1678 2635 3106 4195 5270 7765 8390 14263 14869 15530 26009 26401 28526 29738 48143 52018 52802 71315 74345 96286 130045 132005 142630 148690 240715 252773 260090 264010 442153 460939 481430 505546 818431 884306 921878 1263865 1302967 1636862 2210765 2304695 2527730 2605934 4092155 4421530 4609390 6514835 7835963 8184310 12475091 13029670 15671926 22150439 23091557 24950182 39179815 40391977 44300878 46183114 62375455 78359630 80783954 110752195 115457785 124750910 201959885 212076547 221504390 230915570 386727821 392556469 403919770 424153094 686663609 715838267 773455642 785112938 1060382735 1373327218 1431676534 1933639105 1962782345 2120765470 3433318045 3579191335 3867278210 3925564690 6574372957 6866636090 7158382670 12169250539 13148745914 19373816323 24338501078 32871864785 38747632646 60846252695 65743729570 96869081615 121692505390 193738163230 329354877491 600588306013 658709754982 1201176612026 1646774387455 3002941530065 3293548774910 6005883060130 10210001202221 20420002404442 51050006011105 102100012022210