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12101202101100 = 22352731185886361
BaseRepresentation
bin1011000000011000011111…
…0110100100001101101100
31120211212022120200111202010
42300012013312210031230
53041231230214213400
641423114314201220
72356166032456650
oct260060766441554
946755276614663
1012101202101100
113946100121292
121435364123210
1369a1a527ac48
142db9b6558a60
1515eba795d450
hexb0187da436c

12101202101100 has 144 divisors (see below), whose sum is σ = 41305436727296. Its totient is φ = 2676763584000.

The previous prime is 12101202101083. The next prime is 12101202101113. The reversal of 12101202101100 is 110120210121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 92878081 + ... + 93008280.

Almost surely, 212101202101100 is an apocalyptic number.

12101202101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101202101100 is an abundant number, since it is smaller than the sum of its proper divisors (29204234626196).

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

12101202101100 is a wasteful number, since it uses less digits than its factorization.

12101202101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185886416 (or 185886409 counting only the distinct ones).

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

Adding to 12101202101100 its reverse (110120210121), we get a palindrome (12211322311221).

The spelling of 12101202101100 in words is "twelve trillion, one hundred one billion, two hundred two million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2100 2170 2325 2604 3100 3255 4340 4650 5425 6510 9300 10850 13020 16275 21700 32550 65100 185886361 371772722 557659083 743545444 929431805 1115318166 1301204527 1858863610 2230636332 2602409054 2788295415 3717727220 3903613581 4647159025 5204818108 5576590830 5762477191 6506022635 7807227162 9294318050 11153181660 11524954382 13012045270 13941477075 15614454324 17287431573 18588636100 19518067905 23049908764 26024090540 27882954150 28812385955 32530113175 34574863146 39036135810 40337340337 55765908300 57624771910 65060226350 69149726292 78072271620 80674680674 86437157865 97590339525 115249543820 121012021011 130120452700 144061929775 161349361348 172874315730 195180679050 201686701685 242024042022 288123859550 345748631460 390361358100 403373403370 432185789325 484048084044 576247719100 605060105055 806746806740 864371578650 1008433508425 1210120210110 1728743157300 2016867016850 2420240420220 3025300525275 4033734033700 6050601050550 12101202101100