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101101210122200 = 23525059768113009
BaseRepresentation
bin10110111111001101110101…
…101101110011011111011000
3111020222011220011102212121012
4112333031311231303133120
5101222420234242402300
6555005131005233052
730203215143553661
oct2677156555633730
9436864804385535
10101101210122200
112a239867457962
12b40a112862788
134454a5984aa52
141ad7478cc2368
15ba4d1b60a435
hex5bf375b737d8

101101210122200 has 96 divisors (see below), whose sum is σ = 235155461178000. Its totient is φ = 40424118681600.

The previous prime is 101101210122191. The next prime is 101101210122221. The reversal of 101101210122200 is 2221012101101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7771629296 + ... + 7771642304.

Almost surely, 2101101210122200 is an apocalyptic number.

101101210122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101210122200 is an abundant number, since it is smaller than the sum of its proper divisors (134054251055800).

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

101101210122200 is a wasteful number, since it uses less digits than its factorization.

101101210122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25765 (or 25756 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101101210122200 its reverse (2221012101101), we get a palindrome (103322222223301).

The spelling of 101101210122200 in words is "one hundred one trillion, one hundred one billion, two hundred ten million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5059 7681 10118 13009 15362 20236 25295 26018 30724 38405 40472 50590 52036 61448 65045 76810 101180 104072 126475 130090 153620 192025 202360 252950 260180 307240 325225 384050 505900 520360 650450 768100 1011800 1300900 1536200 2601800 38858179 65812531 77716358 99922129 131625062 155432716 194290895 199844258 263250124 310865432 329062655 388581790 399688516 499610645 526500248 658125310 777163580 799377032 971454475 999221290 1316250620 1554327160 1645313275 1942908950 1998442580 2498053225 2632501240 3290626550 3885817900 3996885160 4996106450 6581253100 7771635800 9992212900 13162506200 19984425800 505506050611 1011012101222 2022024202444 2527530253055 4044048404888 5055060506110 10110121012220 12637651265275 20220242024440 25275302530550 50550605061100 101101210122200