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12110002102100 = 22527315310529521
BaseRepresentation
bin1011000000111001010001…
…0111111001111101010100
31120212201000212102212201002
42300032110113321331110
53041402241014231400
641431131432522432
72356630066316360
oct260162427717524
946781025385632
1012110002102100
113949906530291
121436bbb250418
1369ac78474526
142dc1ad18c2a0
151600202d0ed5
hexb03945f9f54

12110002102100 has 144 divisors (see below), whose sum is σ = 31586544331776. Its totient is φ = 3942252288000.

The previous prime is 12110002102087. The next prime is 12110002102111. The reversal of 12110002102100 is 120120001121.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4114661 + ... + 6414860.

It is an arithmetic number, because the mean of its divisors is an integer number (219351002304).

Almost surely, 212110002102100 is an apocalyptic number.

12110002102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110002102100 is an abundant number, since it is smaller than the sum of its proper divisors (19476542229676).

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

12110002102100 is a wasteful number, since it uses less digits than its factorization.

12110002102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529626 (or 10529619 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12110002102100 its reverse (120120001121), we get a palindrome (12230122103221).

The spelling of 12110002102100 in words is "twelve trillion, one hundred ten billion, two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 53 62 70 100 106 124 140 155 175 212 217 265 310 350 371 434 530 620 700 742 775 868 1060 1085 1325 1484 1550 1643 1855 2170 2650 3100 3286 3710 4340 5300 5425 6572 7420 8215 9275 10850 11501 16430 18550 21700 23002 32860 37100 41075 46004 57505 82150 115010 164300 230020 287525 575050 1150100 10529521 21059042 42118084 52647605 73706647 105295210 147413294 210590420 263238025 294826588 326415151 368533235 526476050 558064613 652830302 737066470 1052952100 1116129226 1305660604 1474132940 1632075755 1842666175 2232258452 2284906057 2790323065 3264151510 3685332350 3906452291 4569812114 5580646130 6528303020 7370664700 7812904582 8160378775 9139624228 11161292260 11424530285 13951615325 15625809164 16320757550 17300003003 19532261455 22849060570 27903230650 32641515100 34600006006 39064522910 45698121140 55806461300 57122651425 69200012012 78129045820 86500015015 97661307275 114245302850 121100021021 173000030030 195322614550 228490605700 242200042042 346000060060 390645229100 432500075075 484400084084 605500105105 865000150150 1211000210210 1730000300300 2422000420420 3027500525525 6055001051050 12110002102100