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12101010322100 = 2252743715662351
BaseRepresentation
bin1011000000010111110001…
…1010111111001010110100
31120211211211012211010102012
42300011330122333022310
53041230332120301400
641423043303503352
72356161213412340
oct260057432771264
946754735733365
1012101010322100
113946011943947
12143530ba57b58
1369a17461184b
142db998cb6620
1515eb95bc9d35
hexb017c6bf2b4

12101010322100 has 144 divisors (see below), whose sum is σ = 31140942852096. Its totient is φ = 3995354160000.

The previous prime is 12101010322043. The next prime is 12101010322123. The reversal of 12101010322100 is 122301010121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694076 + ... + 4968275.

It is an arithmetic number, because the mean of its divisors is an integer number (216256547584).

Almost surely, 212101010322100 is an apocalyptic number.

12101010322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101010322100 is an abundant number, since it is smaller than the sum of its proper divisors (19039932529996).

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

12101010322100 is a wasteful number, since it uses less digits than its factorization.

12101010322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662486 (or 5662479 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12101010322100 its reverse (122301010121), we get a palindrome (12223311332221).

The spelling of 12101010322100 in words is "twelve trillion, one hundred one billion, ten million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 71 86 100 140 142 172 175 215 284 301 350 355 430 497 602 700 710 860 994 1075 1204 1420 1505 1775 1988 2150 2485 3010 3053 3550 4300 4970 6020 6106 7100 7525 9940 12212 12425 15050 15265 21371 24850 30100 30530 42742 49700 61060 76325 85484 106855 152650 213710 305300 427420 534275 1068550 2137100 5662351 11324702 22649404 28311755 39636457 56623510 79272914 113247020 141558775 158545828 198182285 243481093 283117550 396364570 402026921 486962186 566235100 792729140 804053842 973924372 990911425 1217405465 1608107684 1704367651 1981822850 2010134605 2434810930 2814188447 3408735302 3963645700 4020269210 4869621860 5628376894 6087027325 6817470604 8040538420 8521838255 10050673025 11256753788 12174054650 14070942235 17043676510 17287157603 20101346050 24348109300 28141884470 34087353020 34574315206 40202692100 42609191275 56283768940 69148630412 70354711175 85218382550 86435788015 121010103221 140709422350 170436765100 172871576030 242020206442 281418844700 345743152060 432178940075 484040412884 605050516105 864357880150 1210101032210 1728715760300 2420202064420 3025252580525 6050505161050 12101010322100