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101201201010 = 23357134118893
BaseRepresentation
bin101111001000000001…
…1111100011101110010
3100200012212220200021000
41132100003330131302
53124230001413020
6114254032542430
710211601005160
oct1362003743562
9320185820230
10101201201010
1139a12492208
12177440b1a16
13970a634780
144c807c4230
152974911090
hex17900fc772

101201201010 has 128 divisors (see below), whose sum is σ = 332147612160. Its totient is φ = 21352336128.

The previous prime is 101201200999. The next prime is 101201201027. The reversal of 101201201010 is 10102102101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101201200983 and 101201201001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2034877 + ... + 2084016.

It is an arithmetic number, because the mean of its divisors is an integer number (2594903220).

Almost surely, 2101201201010 is an apocalyptic number.

101201201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101201201010 is an abundant number, since it is smaller than the sum of its proper divisors (230946411150).

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

101201201010 is a wasteful number, since it uses less digits than its factorization.

101201201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118929 (or 4118923 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101201201010 its reverse (10102102101), we get a palindrome (111303303111).

The spelling of 101201201010 in words is "one hundred one billion, two hundred one million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 12285 24570 4118893 8237786 12356679 20594465 24713358 28832251 37070037 41188930 53545609 57664502 61783395 74140074 86496753 107091218 111210111 123566790 144161255 160636827 172993506 185350185 222420222 259490259 267728045 288322510 321273654 370700370 374819263 432483765 481910481 518980518 535456090 556050555 749638526 778470777 803184135 864967530 963820962 1112101110 1124457789 1297451295 1445731443 1556941554 1606368270 1874096315 2248915578 2409552405 2594902590 2891462886 3373373367 3748192630 3892353885 4819104810 5622288945 6746746734 7228657215 7784707770 10120120101 11244577890 14457314430 16866866835 20240240202 33733733670 50600600505 101201201010