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101210220221210 = 25371813139375153
BaseRepresentation
bin10111000000110011010111…
…001110010101001100011010
3111021100121021021011200002122
4113000303113032111030122
5101231212012334034320
6555131155554101242
730214124415244502
oct2700632716251432
9437317237150078
10101210220221210
112a281016851781
12b427275b7a822
13446210cc35409
141adc85a826a02
15ba7a9b868d25
hex5c0cd739531a

101210220221210 has 128 divisors (see below), whose sum is σ = 188975015820864. Its totient is φ = 38997906554880.

The previous prime is 101210220221147. The next prime is 101210220221239. The reversal of 101210220221210 is 12122022012101.

It can be written as a sum of positive squares in 32 ways, for example, as 46685420324929 + 54524799896281 = 6832673^2 + 7384091^2 .

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, 19641025994 + ... + 19641031146.

Almost surely, 2101210220221210 is an apocalyptic number.

101210220221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101210220221210 is a deficient number, since it is larger than the sum of its proper divisors (87764795599654).

101210220221210 is a wasteful number, since it uses less digits than its factorization.

101210220221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101210220221210 its reverse (12122022012101), we get a palindrome (113332242233311).

The spelling of 101210220221210 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 5 10 37 74 181 185 313 362 370 626 905 937 1565 1810 1874 3130 4685 5153 6697 9370 10306 11581 13394 23162 25765 33485 34669 51530 56653 57905 66970 69338 113306 115810 169597 173345 190661 283265 293281 339194 346690 381322 566530 586562 847985 932693 953305 1466405 1612889 1695970 1865386 1906610 2096161 2932810 3225778 4192322 4663465 4828361 6275089 8064445 9326930 9656722 10480805 10851397 12550178 16128890 20961610 21702794 24141805 31375445 34509641 48283610 53083861 54256985 59676893 62750890 69019282 106167722 108513970 119353786 172548205 178649357 265419305 291932909 298384465 345096410 357298714 530838610 583865818 596768930 873933341 893246785 1459664545 1511276993 1747866682 1786493570 1964102857 2919329090 3022553986 3928205714 4369666705 7556384965 8739333410 9820514285 10801517633 15112769930 19641028570 21603035266 32335533617 54007588165 55917248741 64671067234 108015176330 111834497482 161677668085 273541135733 279586243705 323355336170 547082271466 559172487410 1367705678665 2735411357330 10121022022121 20242044044242 50605110110605 101210220221210