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12021211020100 = 22522345711436791
BaseRepresentation
bin1010111011101110100000…
…0000110011101101000100
31120120012211212100120022111
42232323220000303231010
53033423420010120400
641322245035510404
72350334546503162
oct256735000635504
946505755316274
1012021211020100
113915192257187
12142195b2b8404
13692797c49959
142d7b88a62232
1515ca751523ba
hexaeee8033b44

12021211020100 has 72 divisors (see below), whose sum is σ = 27279768233088. Its totient is φ = 4589355091200.

The previous prime is 12021211020047. The next prime is 12021211020107. The reversal of 12021211020100 is 102011212021.

It is not an unprimeable number, because it can be changed into a prime (12021211020107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4667296 + ... + 6769495.

It is an arithmetic number, because the mean of its divisors is an integer number (378885669904).

Almost surely, 212021211020100 is an apocalyptic number.

12021211020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021211020100 is an abundant number, since it is smaller than the sum of its proper divisors (15258557212988).

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

12021211020100 is a wasteful number, since it uses less digits than its factorization.

12021211020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437285 (or 11437278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12021211020100 its reverse (102011212021), we get a palindrome (12123222232121).

The spelling of 12021211020100 in words is "twelve trillion, twenty-one billion, two hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 457 460 575 914 1150 1828 2285 2300 4570 9140 10511 11425 21022 22850 42044 45700 52555 105110 210220 262775 525550 1051100 11436791 22873582 45747164 57183955 114367910 228735820 263046193 285919775 526092386 571839550 1052184772 1143679100 1315230965 2630461930 5226613487 5260923860 6576154825 10453226974 13152309650 20906453948 26133067435 26304619300 52266134870 104532269740 120212110201 130665337175 240424220402 261330674350 480848440804 522661348700 601060551005 1202121102010 2404242204020 3005302755025 6010605510050 12021211020100