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101220020100010 = 25729313374772861
BaseRepresentation
bin10111000000111100011111…
…010101111001101110101010
3111021101112120020101002112201
4113000330133111321232222
5101231342100121200020
6555135500231330414
730214622312655640
oct2700743725715652
9437345506332481
10101220020100010
112a285195600769
12b42914bb20a0a
134463012325376
141add10a175190
15ba7e71d96a0a
hex5c0f1f579baa

101220020100010 has 128 divisors (see below), whose sum is σ = 223012549693440. Its totient is φ = 32330208153600.

The previous prime is 101220020099971. The next prime is 101220020100029. The reversal of 101220020100010 is 10001020022101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101220020100010.

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, 18820980 + ... + 23593840.

It is an arithmetic number, because the mean of its divisors is an integer number (1742285544480).

Almost surely, 2101220020100010 is an apocalyptic number.

101220020100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101220020100010 is an abundant number, since it is smaller than the sum of its proper divisors (121792529593430).

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

101220020100010 is a wasteful number, since it uses less digits than its factorization.

101220020100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773272.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101220020100010 its reverse (10001020022101), we get a palindrome (111221040122111).

The spelling of 101220020100010 in words is "one hundred one trillion, two hundred twenty billion, twenty million, one hundred thousand, ten".

Divisors: 1 2 5 7 10 14 29 31 35 58 62 70 145 155 203 217 290 310 337 406 434 674 899 1015 1085 1685 1798 2030 2170 2359 3370 4495 4718 6293 8990 9773 10447 11795 12586 19546 20894 23590 31465 48865 52235 62930 68411 73129 97730 104470 136822 146258 302963 342055 365645 605926 684110 731290 1514815 2120741 3029630 4241482 4772861 9545722 10603705 21207410 23864305 33410027 47728610 66820054 138412969 147958691 167050135 276825938 295917382 334100270 692064845 739793455 968890783 1035710837 1384129690 1479586910 1608454157 1937781566 2071421674 3216908314 4290802039 4844453915 5178554185 8042270785 8581604078 9688907830 10357108370 11259179099 16084541570 21454010195 22518358198 30035614273 42908020390 46645170553 49862078867 56295895495 60071228546 93290341106 99724157734 112591790990 150178071365 233225852765 249310394335 300356142730 326516193871 349034552069 466451705530 498620788670 653032387742 698069104138 1446000287143 1632580969355 1745172760345 2892000574286 3265161938710 3490345520690 7230001435715 10122002010001 14460002871430 20244004020002 50610010050005 101220020100010