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20101212000100 = 225271117153561589
BaseRepresentation
bin1001001001000001011011…
…00110011100111101100100
32122011122202000200211111001
410210200231212130331210
510113314240233000400
6110430211434323044
74143156525565240
oct444405546347544
978148660624431
1020101212000100
11644a970155810
1223078bb289484
13b2a6c7c299aa
144d6c92253420
1524cd2a6cba6a
hex12482d99cf64

20101212000100 has 144 divisors (see below), whose sum is σ = 57581910771840. Its totient is φ = 5896764979200.

The previous prime is 20101212000011. The next prime is 20101212000127. The reversal of 20101212000100 is 100021210102.

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

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, 76649895 + ... + 76911694.

It is an arithmetic number, because the mean of its divisors is an integer number (399874380360).

Almost surely, 220101212000100 is an apocalyptic number.

20101212000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101212000100 is an abundant number, since it is smaller than the sum of its proper divisors (37480698771740).

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

20101212000100 is a wasteful number, since it uses less digits than its factorization.

20101212000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153561638 (or 153561631 counting only the distinct ones).

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

Adding to 20101212000100 its reverse (100021210102), we get a palindrome (20201233210202).

The spelling of 20101212000100 in words is "twenty trillion, one hundred one billion, two hundred twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 110 119 140 154 170 175 187 220 238 275 308 340 350 374 385 425 476 550 595 700 748 770 850 935 1100 1190 1309 1540 1700 1870 1925 2380 2618 2975 3740 3850 4675 5236 5950 6545 7700 9350 11900 13090 18700 26180 32725 65450 130900 153561589 307123178 614246356 767807945 1074931123 1535615890 1689177479 2149862246 2610547013 3071231780 3378354958 3839039725 4299724492 5221094026 5374655615 6756709916 7678079450 8445887395 10442188052 10749311230 11824242353 13052735065 15356158900 16891774790 18273829091 21498622460 23648484706 26105470130 26873278075 28716017143 33783549580 36547658182 42229436975 47296969412 52210940260 53746556150 57432034286 59121211765 65263675325 73095316364 84458873950 91369145455 107493112300 114864068572 118242423530 130527350650 143580085715 168917747900 182738290910 201012120001 236484847060 261054701300 287160171430 295606058825 365476581820 402024240002 456845727275 574320342860 591212117650 717900428575 804048480004 913691454550 1005060600005 1182424235300 1435800857150 1827382909100 2010121200010 2871601714300 4020242400020 5025303000025 10050606000050 20101212000100