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10211202010100 = 22527131122110111
BaseRepresentation
bin1001010010010111101100…
…0100011000101111110100
31100011011220020002000022202
42110211323010120233310
52314300020203310400
633414543401044032
72102510050663010
oct224457304305764
940134806060282
1010211202010100
113287601369203
12118abbaa86618
13590bb21b1230
14274320c67540
1512a93ba5b4d5
hex9497b118bf4

10211202010100 has 72 divisors (see below), whose sum is σ = 27271764162048. Its totient is φ = 3231677116800.

The previous prime is 10211202010069. The next prime is 10211202010111. The reversal of 10211202010100 is 101020211201.

10211202010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561045956 + ... + 561064155.

Almost surely, 210211202010100 is an apocalyptic number.

10211202010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211202010100 is an abundant number, since it is smaller than the sum of its proper divisors (17060562151948).

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

10211202010100 is a wasteful number, since it uses less digits than its factorization.

10211202010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122110145 (or 1122110138 counting only the distinct ones).

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

Adding to 10211202010100 its reverse (101020211201), we get a palindrome (10312222221301).

The spelling of 10211202010100 in words is "ten trillion, two hundred eleven billion, two hundred two million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 1122110111 2244220222 4488440444 5610550555 7854770777 11221101110 14587431443 15709541554 22442202220 28052752775 29174862886 31419083108 39273853885 56105505550 58349725772 72937157215 78547707770 102112020101 112211011100 145874314430 157095415540 196369269425 204224040202 291748628860 364685786075 392738538850 408448080404 510560100505 729371572150 785477077700 1021120201010 1458743144300 2042240402020 2552800502525 5105601005050 10211202010100