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101222111100110 = 257211131444585573
BaseRepresentation
bin10111000000111110011011…
…111110011011110011001110
3111021101201221221221220102212
4113000332123332123303032
5101231410340420200420
6555140443524550422
730215025163120100
oct2700763376336316
9437351857856385
10101222111100110
112a286068952020
12b429634252412
1344632865b1930
141add267b5b570
15ba80457323c5
hex5c0f9bf9bcce

101222111100110 has 96 divisors (see below), whose sum is σ = 249000326219232. Its totient is φ = 29122845131520.

The previous prime is 101222111100079. The next prime is 101222111100113. The reversal of 101222111100110 is 11001111222101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222111100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722222717 + ... + 722362856.

It is an arithmetic number, because the mean of its divisors is an integer number (2593753398117).

Almost surely, 2101222111100110 is an apocalyptic number.

101222111100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101222111100110 is an abundant number, since it is smaller than the sum of its proper divisors (147778215119122).

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

101222111100110 is a wasteful number, since it uses less digits than its factorization.

101222111100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444585618 (or 1444585611 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101222111100110 its reverse (11001111222101), we get a palindrome (112223222322211).

The spelling of 101222111100110 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 130 143 154 182 245 286 385 455 490 539 637 715 770 910 1001 1078 1274 1430 2002 2695 3185 5005 5390 6370 7007 10010 14014 35035 70070 1444585573 2889171146 7222927865 10112099011 14445855730 15890441303 18779612449 20224198022 31780882606 37559224898 50560495055 70784693077 79452206515 93898062245 101120990110 111233089121 131457287143 141569386154 158904413030 187796124490 206575736939 222466178242 262914574286 353923465385 413151473878 556165445605 657286435715 707846930770 778631623847 920201010001 1032878684695 1112330891210 1314572871430 1446030158573 1557263247694 1840402020002 2065757369390 2892060317146 3893158119235 4601005050005 7230150792865 7786316238470 9202010100010 10122211110011 14460301585730 20244422220022 50611055550055 101222111100110