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102020102120100 = 223523780221114571
BaseRepresentation
bin10111001100100101100111…
…111100100110001010100100
3111101020000201022211212221110
4113030211213330212022210
5101332444132120320400
61000551215441545020
730326465143636413
oct2714454774461244
9441200638755843
10102020102120100
112a563533a9635a
12b538219945170
1344c05ba28b728
141b29b2936b47a
15bbdb9c48ae50
hex5cc967f262a4

102020102120100 has 144 divisors (see below), whose sum is σ = 303162375352256. Its totient is φ = 26469519552000.

The previous prime is 102020102120071. The next prime is 102020102120147. The reversal of 102020102120100 is 1021201020201.

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, 890395815 + ... + 890510385.

Almost surely, 2102020102120100 is an apocalyptic number.

102020102120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020102120100 is an abundant number, since it is smaller than the sum of its proper divisors (201142273232156).

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

102020102120100 is a wasteful number, since it uses less digits than its factorization.

102020102120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194846 (or 194839 counting only the distinct ones).

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

Adding to 102020102120100 its reverse (1021201020201), we get a palindrome (103041303140301).

The spelling of 102020102120100 in words is "one hundred two trillion, twenty billion, one hundred two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 80221 114571 160442 229142 240663 320884 343713 401105 458284 481326 572855 687426 802210 962652 1145710 1203315 1374852 1604420 1718565 2005525 2291420 2406630 2864275 2968177 3437130 4011050 4239127 4813260 5728550 5936354 6016575 6874260 8022100 8478254 8592825 8904531 11457100 11872708 12033150 12717381 14840885 16956508 17185650 17809062 21195635 24066300 25434762 29681770 34371300 35618124 42391270 44522655 50869524 59363540 63586905 74204425 84782540 89045310 105978175 127173810 148408850 178090620 211956350 222613275 254347620 296817700 317934525 423912700 445226550 635869050 890453100 1271738100 9191000191 18382000382 27573000573 36764000764 45955000955 55146001146 91910001910 110292002292 137865002865 183820003820 229775004775 275730005730 340067007067 459550009550 551460011460 680134014134 689325014325 919100019100 1020201021201 1360268028268 1378650028650 1700335035335 2040402042402 2757300057300 3400670070670 4080804084804 5101005106005 6801340141340 8501675176675 10202010212010 17003350353350 20404020424020 25505025530025 34006700706700 51010051060050 102020102120100