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10020121200110 = 2572131269580301
BaseRepresentation
bin1001000111001111110111…
…0000111100010111101110
31022110220200110211010101002
42101303331300330113232
52303132202011400420
633151102524120302
72052633641621300
oct221637560742756
938426613733332
1010020121200110
11321356721451a
121159b72396092
13578b7c98a3a8
14268d95563970
151259a6650075
hex91cfdc3c5ee

10020121200110 has 96 divisors (see below), whose sum is σ = 21219694325280. Its totient is φ = 3396565536000.

The previous prime is 10020121200053. The next prime is 10020121200163. The reversal of 10020121200110 is 1100212102001.

It is a junction number, because it is equal to n+sod(n) for n = 10020121200091 and 10020121200100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16976960 + ... + 17557260.

It is an arithmetic number, because the mean of its divisors is an integer number (221038482555).

Almost surely, 210020121200110 is an apocalyptic number.

10020121200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10020121200110 is an abundant number, since it is smaller than the sum of its proper divisors (11199573125170).

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

10020121200110 is a wasteful number, since it uses less digits than its factorization.

10020121200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580722 (or 580715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10020121200110 its reverse (1100212102001), we get a palindrome (11120333302111).

The spelling of 10020121200110 in words is "ten trillion, twenty billion, one hundred twenty-one million, two hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 131 245 262 269 490 538 655 917 1310 1345 1834 1883 2690 3766 4585 6419 9170 9415 12838 13181 18830 26362 32095 35239 64190 65905 70478 131810 176195 246673 352390 493346 580301 1160602 1233365 1726711 2466730 2901505 3453422 4062107 5803010 8124214 8633555 17267110 20310535 28434749 40621070 56869498 76019431 142173745 152038862 156100969 284347490 312201938 380097155 532136017 760194310 780504845 1064272034 1092706783 1561009690 2185413566 2660680085 3724952119 5321360170 5463533915 7449904238 7648947481 10927067830 15297894962 18624760595 20449226939 37249521190 38244737405 40898453878 76489474810 102246134695 143144588573 204492269390 286289177146 715722942865 1002012120011 1431445885730 2004024240022 5010060600055 10020121200110