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10021020121200 = 2435211759168191
BaseRepresentation
bin1001000111010011001101…
…0110000011100001110000
31022111000000010022001021210
42101310303112003201300
52303141022122334300
633151332035120120
72052665135414424
oct221646326034160
938430003261253
1010021020121200
11321398867a210
12115a183443040
13578c93c9696a
1426903cabcb84
15125a0a517050
hex91d33583870

10021020121200 has 120 divisors (see below), whose sum is σ = 35018910360576. Its totient is φ = 2429338208000.

The previous prime is 10021020121199. The next prime is 10021020121213. The reversal of 10021020121200 is 212102012001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379570896 + ... + 379597295.

Almost surely, 210021020121200 is an apocalyptic number.

10021020121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021020121200 is an abundant number, since it is smaller than the sum of its proper divisors (24997890239376).

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

10021020121200 is a wasteful number, since it uses less digits than its factorization.

10021020121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759168223 (or 759168212 counting only the distinct ones).

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

Adding to 10021020121200 its reverse (212102012001), we get a palindrome (10233122133201).

The spelling of 10021020121200 in words is "ten trillion, twenty-one billion, twenty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 759168191 1518336382 2277504573 3036672764 3795840955 4555009146 6073345528 7591681910 8350850101 9110018292 11387522865 12146691056 15183363820 16701700202 18220036584 18979204775 22775045730 25052550303 30366727640 33403400404 36440073168 37958409550 41754250505 45550091460 50105100606 56937614325 60733455280 66806800808 75916819100 83508501010 91100182920 100210201212 113875228650 125262751515 133613601616 151833638200 167017002020 182200365840 200420402424 208771252525 227750457300 250525503030 303667276400 334034004040 400840804848 417542505050 455500914600 501051006060 626313757575 668068008080 835085010100 911001829200 1002102012120 1252627515150 1670170020200 2004204024240 2505255030300 3340340040400 5010510060600 10021020121200