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12010101210100 = 2252747376796907
BaseRepresentation
bin1010111011000101000111…
…0100001111101111110100
31120112011011121021202002001
42232301101310033233310
53033233141402210400
641313210410025044
72346462334616440
oct256612164175764
946464147252061
1012010101210100
113910501037524
12141b77a718184
13691717355596
142d7413369820
1515c624b21a6a
hexaec51d0fbf4

12010101210100 has 144 divisors (see below), whose sum is σ = 30427164536832. Its totient is φ = 4029025875840.

The previous prime is 12010101210061. The next prime is 12010101210103. The reversal of 12010101210100 is 101210101021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010101210103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123885847 + ... + 123982753.

It is an arithmetic number, because the mean of its divisors is an integer number (211299753728).

Almost surely, 212010101210100 is an apocalyptic number.

12010101210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010101210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213582268416).

12010101210100 is an abundant number, since it is smaller than the sum of its proper divisors (18417063326732).

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

12010101210100 is a wasteful number, since it uses less digits than its factorization.

12010101210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100742 (or 100735 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12010101210100 its reverse (101210101021), we get a palindrome (12111311311121).

The spelling of 12010101210100 in words is "twelve trillion, ten billion, one hundred one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1316 1645 2350 3290 3767 4700 6580 7534 8225 15068 16450 18835 26369 32900 37670 52738 75340 94175 96907 105476 131845 177049 188350 193814 263690 354098 376700 387628 484535 527380 659225 678349 708196 885245 969070 1239343 1318450 1356698 1770490 1938140 2422675 2478686 2636900 2713396 3391745 3540980 4426225 4554629 4845350 4957372 6196715 6783490 8852450 9109258 9690700 12393430 13566980 16958725 17704900 18218516 22773145 24786860 30983575 31882403 33917450 45546290 61967150 63764806 67834900 91092580 113865725 123934300 127529612 159412015 227731450 318824030 365048669 455462900 637648060 730097338 797060075 1460194676 1594120150 1825243345 2555340683 3188240300 3650486690 5110681366 7300973380 9126216725 10221362732 12776703415 17157287443 18252433450 25553406830 34314574886 36504866900 51106813660 63883517075 68629149772 85786437215 120101012101 127767034150 171572874430 240202024202 255534068300 343145748860 428932186075 480404048404 600505060505 857864372150 1201010121010 1715728744300 2402020242020 3002525302525 6005050605050 12010101210100