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1101221102100 = 2235271274129063
BaseRepresentation
bin10000000001100101111…
…001001000001000010100
310220021102222210011220110
4100001211321020020110
5121020300100231400
62201521034003020
7142363166631660
oct20014571101024
93807388704813
101101221102100
11395030670089
12159510876470
137cac9a7a6b2
143b42972b8a0
151d9a2ca8e50
hex10065e48214

1101221102100 has 144 divisors (see below), whose sum is σ = 3670044213248. Its totient is φ = 249725669760.

The previous prime is 1101221102077. The next prime is 1101221102143. The reversal of 1101221102100 is 12011221011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1797832 + ... + 2331231.

Almost surely, 21101221102100 is an apocalyptic number.

1101221102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101221102100 is an abundant number, since it is smaller than the sum of its proper divisors (2568823111148).

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

1101221102100 is a wasteful number, since it uses less digits than its factorization.

1101221102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129214 (or 4129207 counting only the distinct ones).

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

Adding to 1101221102100 its reverse (12011221011), we get a palindrome (1113232323111).

The spelling of 1101221102100 in words is "one trillion, one hundred one billion, two hundred twenty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 127 140 150 175 210 254 300 350 381 420 508 525 635 700 762 889 1050 1270 1524 1778 1905 2100 2540 2667 3175 3556 3810 4445 5334 6350 7620 8890 9525 10668 12700 13335 17780 19050 22225 26670 38100 44450 53340 66675 88900 133350 266700 4129063 8258126 12387189 16516252 20645315 24774378 28903441 41290630 49548756 57806882 61935945 82581260 86710323 103226575 115613764 123871890 144517205 173420646 206453150 247743780 289034410 309679725 346841292 412906300 433551615 524391001 578068820 619359450 722586025 867103230 1048782002 1238718900 1445172050 1573173003 1734206460 2097564004 2167758075 2621955005 2890344100 3146346006 3670737007 4335516150 5243910010 6292692012 7341474014 7865865015 8671032300 10487820020 11012211021 13109775025 14682948028 15731730030 18353685035 22024422042 26219550050 31463460060 36707370070 39329325075 44048844084 52439100100 55061055105 73414740140 78658650150 91768425175 110122110210 157317300300 183536850350 220244220420 275305275525 367073700700 550610551050 1101221102100