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2121003101100 = 22352131731990997
BaseRepresentation
bin11110110111010101101…
…000101110101110101100
321111202200100112021111010
4132313111220232232230
5234222303243213400
64302213025225220
7306144301615332
oct36672550565654
97452610467433
102121003101100
1174856aa57684
122a3093792210
13125018503290
147492b10db52
153a28b078450
hex1edd5a2ebac

2121003101100 has 144 divisors (see below), whose sum is σ = 6997582938528. Its totient is φ = 491381698560.

The previous prime is 2121003101081. The next prime is 2121003101111. The reversal of 2121003101100 is 11013001212.

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, 15929199 + ... + 16061798.

It is an arithmetic number, because the mean of its divisors is an integer number (48594325962).

Almost surely, 22121003101100 is an apocalyptic number.

2121003101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121003101100 is an abundant number, since it is smaller than the sum of its proper divisors (4876579837428).

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

2121003101100 is a wasteful number, since it uses less digits than its factorization.

2121003101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31991044 (or 31991037 counting only the distinct ones).

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

Adding to 2121003101100 its reverse (11013001212), we get a palindrome (2132016102312).

The spelling of 2121003101100 in words is "two trillion, one hundred twenty-one billion, three million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 31990997 63981994 95972991 127963988 159954985 191945982 319909970 383891964 415882961 479864955 543846949 639819940 799774925 831765922 959729910 1087693898 1247648883 1599549850 1631540847 1663531844 1919459820 2079414805 2175387796 2399324775 2495297766 2719234745 3199099700 3263081694 4158829610 4798649550 4990595532 5438469490 6238244415 6526163388 7070010337 8157704235 8317659220 9597299100 10397074025 10876938980 12476488830 13596173725 14140020674 16315408470 20794148050 21210031011 24952977660 27192347450 28280041348 31191222075 32630816940 35350051685 40788521175 41588296100 42420062022 54384694900 62382444150 70700103370 81577042350 84840124044 106050155055 124764888300 141400206740 163154084700 176750258425 212100310110 353500516850 424200620220 530250775275 707001033700 1060501550550 2121003101100