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2001101221020 = 2235112299504613
BaseRepresentation
bin11101000111101010111…
…011010110110010011100
321002022012011222200012210
4131013222323112302130
5230241223403033040
64131143200000420
7264401103504666
oct35075273266234
97068164880183
102001101221020
1170173151a500
122839b0900110
1311691a751a45
146cbd4c29536
15370bea05480
hex1d1eaed6c9c

2001101221020 has 144 divisors (see below), whose sum is σ = 6371132856480. Its totient is φ = 468387279360.

The previous prime is 2001101220997. The next prime is 2001101221051. The reversal of 2001101221020 is 201221011002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001101220987 and 2001101221005.

It is a congruent number.

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, 4541767 + ... + 4962846.

It is an arithmetic number, because the mean of its divisors is an integer number (44243978170).

Almost surely, 22001101221020 is an apocalyptic number.

2001101221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001101221020 is an abundant number, since it is smaller than the sum of its proper divisors (4370031635460).

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

2001101221020 is a wasteful number, since it uses less digits than its factorization.

2001101221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504676 (or 9504663 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001101221020 its reverse (201221011002), we get a palindrome (2202322232022).

The spelling of 2001101221020 in words is "two trillion, one billion, one hundred one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 121 132 145 165 174 220 242 290 319 330 348 363 435 484 580 605 638 660 726 870 957 1210 1276 1452 1595 1740 1815 1914 2420 3190 3509 3630 3828 4785 6380 7018 7260 9570 10527 14036 17545 19140 21054 35090 42108 52635 70180 105270 210540 9504613 19009226 28513839 38018452 47523065 57027678 95046130 104550743 114055356 142569195 190092260 209101486 275633777 285138390 313652229 418202972 522753715 551267554 570276780 627304458 826901331 1045507430 1102535108 1150058173 1254608916 1378168885 1568261145 1653802662 2091014860 2300116346 2756337770 3031971547 3136522290 3307605324 3450174519 4134506655 4600232692 5512675540 5750290865 6063943094 6273044580 6900349038 8269013310 9095914641 11500581730 12127886188 13800698076 15159857735 16538026620 17250872595 18191829282 23001163460 30319715470 33351687017 34501745190 36383658564 45479573205 60639430940 66703374034 69003490380 90959146410 100055061051 133406748068 166758435085 181918292820 200110122102 333516870170 400220244204 500275305255 667033740340 1000550610510 2001101221020