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100102221120 = 2635119479377
BaseRepresentation
bin101110100111010001…
…1101010110101000000
3100120101021222201021010
41131032203222311000
53120002132033440
6113553014000520
710142424561156
oct1351643526500
9316337881233
10100102221120
11394a9104370
1217498046140
139593a50205
144bb886d3d6
15290d1cc580
hex174e8ead40

100102221120 has 112 divisors (see below), whose sum is σ = 346717729728. Its totient is φ = 24267202560.

The previous prime is 100102221113. The next prime is 100102221127. The reversal of 100102221120 is 21122201001.

It is an interprime number because it is at equal distance from previous prime (100102221113) and next prime (100102221127).

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 = 100102221096 and 100102221105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102221127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4729129 + ... + 4750248.

Almost surely, 2100102221120 is an apocalyptic number.

100102221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102221120 is an abundant number, since it is smaller than the sum of its proper divisors (246615508608).

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

100102221120 is a wasteful number, since it uses less digits than its factorization.

100102221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9479408 (or 9479398 counting only the distinct ones).

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

Adding to 100102221120 its reverse (21122201001), we get a palindrome (121224422121).

The spelling of 100102221120 in words is "one hundred billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 9479377 18958754 28438131 37917508 47396885 56876262 75835016 94793770 104273147 113752524 142190655 151670032 189587540 208546294 227505048 284381310 303340064 312819441 379175080 417092588 455010096 521365735 568762620 606680128 625638882 758350160 834185176 910020192 1042731470 1137525240 1251277764 1516700320 1564097205 1668370352 1820040384 2085462940 2275050480 2502555528 3033400640 3128194410 3336740704 4170925880 4550100960 5005111056 6256388820 6673481408 8341851760 9100201920 10010222112 12512777640 16683703520 20020444224 25025555280 33367407040 50051110560 100102221120