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101001221011200 = 283525260480261
BaseRepresentation
bin10110111101110000101101…
…111001100111011100000000
3111020121121210202021202020210
4112331300231321213130000
5101214301000034324300
6554451153111434120
730163045261256556
oct2675605571473400
9436547722252223
10101001221011200
112a200417189934
12b3b2868685940
1344484b3381703
141ad26b1497bd6
15ba2418322050
hex5bdc2de67700

101001221011200 has 108 divisors (see below), whose sum is σ = 333325071321368. Its totient is φ = 26933658931200.

The previous prime is 101001221011181. The next prime is 101001221011211. The reversal of 101001221011200 is 2110122100101.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2630220931 + ... + 2630259330.

Almost surely, 2101001221011200 is an apocalyptic number.

101001221011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001221011200 is an abundant number, since it is smaller than the sum of its proper divisors (232323850310168).

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

101001221011200 is an equidigital number, since it uses as much as digits as its factorization.

101001221011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260480290 (or 5260480271 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001221011200 its reverse (2110122100101), we get a palindrome (103111343111301).

The spelling of 101001221011200 in words is "one hundred one trillion, one billion, two hundred twenty-one million, eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 5260480261 10520960522 15781440783 21041921044 26302401305 31562881566 42083842088 52604802610 63125763132 78907203915 84167684176 105209605220 126251526264 131512006525 157814407830 168335368352 210419210440 252503052528 263024013050 315628815660 336670736704 394536019575 420838420880 505006105056 526048026100 631257631320 673341473408 789072039150 841676841760 1010012210112 1052096052200 1262515262640 1346682946816 1578144078300 1683353683520 2020024420224 2104192104400 2525030525280 3156288156600 3366707367040 4040048840448 4208384208800 5050061050560 6312576313200 6733414734080 8416768417600 10100122101120 12625152626400 16833536835200 20200244202240 25250305252800 33667073670400 50500610505600 101001221011200