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12122101102100 = 22521116676610733
BaseRepresentation
bin1011000001100110010110…
…0001111011011000010100
31120220212021001211202112012
42300121211201323120110
53042102030340231400
641440452200243352
72360535652162013
oct260314541733024
946825231752465
1012122101102100
113953a55060040
121439417170558
1369c155c8c622
142dc9d9dbaa7a
151604cc5a9d35
hexb066587b614

12122101102100 has 72 divisors (see below), whose sum is σ = 28713538028448. Its totient is φ = 4405391804800.

The previous prime is 12122101102099. The next prime is 12122101102187. The reversal of 12122101102100 is 120110122121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1471667 + ... + 5139066.

It is an arithmetic number, because the mean of its divisors is an integer number (398799139284).

Almost surely, 212122101102100 is an apocalyptic number.

12122101102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122101102100 is an abundant number, since it is smaller than the sum of its proper divisors (16591436926348).

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

12122101102100 is a wasteful number, since it uses less digits than its factorization.

12122101102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612425 (or 6612418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12122101102100 its reverse (120110122121), we get a palindrome (12242211224221).

The spelling of 12122101102100 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1667 3334 6668 8335 16670 18337 33340 36674 41675 73348 83350 91685 166700 183370 366740 458425 916850 1833700 6610733 13221466 26442932 33053665 66107330 72718063 132214660 145436126 165268325 290872252 330536650 363590315 661073300 727180630 1454361260 1817951575 3635903150 7271806300 11020091911 22040183822 44080367644 55100459555 110200919110 121221011021 220401838220 242442022042 275502297775 484884044084 551004595550 606105055105 1102009191100 1212210110210 2424420220420 3030525275525 6061050551050 12122101102100