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101202120201 = 371319125915497
BaseRepresentation
bin101111001000000011…
…1011100111000001001
3100200012221122101011010
41132100013130320021
53124230220321301
6114254104354133
710211611554060
oct1362007347011
9320187571133
10101202120201
1139a12a5a876
1217744475949
13970a896c80
144c809831d7
152974a435d6
hex17901dce09

101202120201 has 64 divisors (see below), whose sum is σ = 174966220800. Its totient is φ = 50528365056.

The previous prime is 101202120193. The next prime is 101202120221. The reversal of 101202120201 is 102021202101.

It is not a de Polignac number, because 101202120201 - 23 = 101202120193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101202120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6522685 + ... + 6538181.

It is an arithmetic number, because the mean of its divisors is an integer number (2733847200).

Almost surely, 2101202120201 is an apocalyptic number.

It is an amenable number.

101202120201 is a deficient number, since it is larger than the sum of its proper divisors (73764100599).

101202120201 is a wasteful number, since it uses less digits than its factorization.

101202120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16798.

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

Adding to 101202120201 its reverse (102021202101), we get a palindrome (203223322302).

The spelling of 101202120201 in words is "one hundred one billion, two hundred two million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1259 1729 3777 5187 8813 15497 16367 23921 26439 46491 49101 71763 108479 114569 167447 201461 294443 310973 325437 343707 502341 604383 883329 932919 1410227 2061101 2176811 3827759 4230681 6183303 6530433 11483277 19510723 26794313 58532169 80382939 136575061 253639399 370703737 409725183 760918197 1112111211 1775475793 2594926159 4819148581 5326427379 7784778477 14457445743 33734040067 101202120201