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12110021200101 = 31137101197503991
BaseRepresentation
bin1011000000111001010110…
…0000110000100011100101
31120212201002012101011020110
42300032111200300203211
53041402310411400401
641431133354123233
72356630420540566
oct260162540604345
946781065334213
1012110021200101
113949916294960
121437005720519
1369ac7c400216
142dc1b192016d
15160021d049d6
hexb03958308e5

12110021200101 has 128 divisors (see below), whose sum is σ = 18417573199872. Its totient is φ = 7013381760000.

The previous prime is 12110021200021. The next prime is 12110021200111. The reversal of 12110021200101 is 10100212001121.

It is not a de Polignac number, because 12110021200101 - 213 = 12110021191909 is a prime.

It is a super-2 number, since 2×121100212001012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110021200111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12220000716 + ... + 12220001706.

It is an arithmetic number, because the mean of its divisors is an integer number (143887290624).

Almost surely, 212110021200101 is an apocalyptic number.

12110021200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12110021200101 is a deficient number, since it is larger than the sum of its proper divisors (6307551999771).

12110021200101 is a wasteful number, since it uses less digits than its factorization.

12110021200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12110021200101 its reverse (10100212001121), we get a palindrome (22210233201222).

The spelling of 12110021200101 in words is "twelve trillion, one hundred ten billion, twenty-one million, two hundred thousand, one hundred one".

Divisors: 1 3 11 33 37 101 111 197 303 407 503 591 991 1111 1221 1509 2167 2973 3333 3737 5533 6501 7289 10901 11211 16599 18611 19897 21867 32703 36667 41107 50803 55833 59691 80179 99091 100091 110001 123321 152409 195227 204721 218867 240537 297273 300273 403337 498473 558833 585681 614163 656601 736189 1090001 1101001 1210011 1495419 1676499 1879711 2147497 2208567 3270003 3303003 3666367 3703367 5483203 5639133 6442491 7223399 8098079 10008191 10999101 11110101 16449609 18443501 19717927 20676821 21670197 24294237 30024573 40330037 40737037 50345773 55330503 59153781 62030463 79457389 98199181 110090101 120990111 122211111 151037319 202878511 216897197 238372167 294597543 330270303 370303067 553803503 608635533 650691591 729563299 1080190991 1110909201 1661410509 1862793601 2188689897 3240572973 3633369697 4073333737 5588380803 8025196289 9918117281 10900109091 12220001211 20490729611 24075588867 29754351843 39967066667 61472188833 109099290091 119901200001 327297870273 366970339397 1100911018191 4036673733367 12110021200101