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20102010012201 = 31361101197342403
BaseRepresentation
bin1001001001000010111010…
…01010101000001000101001
32122011201210122022001021210
410210201131022220020221
510113322404030342301
6110430422542423333
74143215355562155
oct444413512501051
978151718261253
1020102010012201
11645023a659047
122307aa2591b49
13b2a7c4364ac0
144d6d2a222065
1524cd757aead6
hex12485d2a8229

20102010012201 has 64 divisors (see below), whose sum is σ = 29643799175424. Its totient is φ = 12040811136000.

The previous prime is 20102010012083. The next prime is 20102010012211. The reversal of 20102010012201 is 10221001020102.

It is not a de Polignac number, because 20102010012201 - 219 = 20102009487913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20102010012211) 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, 474049266 + ... + 474091668.

It is an arithmetic number, because the mean of its divisors is an integer number (463184362116).

Almost surely, 220102010012201 is an apocalyptic number.

It is an amenable number.

20102010012201 is a deficient number, since it is larger than the sum of its proper divisors (9541789163223).

20102010012201 is a wasteful number, since it uses less digits than its factorization.

20102010012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44554.

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

Adding to 20102010012201 its reverse (10221001020102), we get a palindrome (30323011032303).

The spelling of 20102010012201 in words is "twenty trillion, one hundred two billion, ten million, twelve thousand, two hundred one".

Divisors: 1 3 13 39 61 101 183 303 793 1313 1973 2379 3939 5919 6161 18483 25649 42403 76947 80093 120353 127209 199273 240279 361059 551239 597819 1564589 1653717 2586583 2590549 4282703 4693767 7759749 7771647 12155653 12848109 33625579 36466959 55675139 83661119 100876737 158023489 167025417 250983357 261244883 474070467 783734649 1087594547 3262783641 3396183479 5103328259 8449773019 10188550437 15309984777 25349319057 66343267367 109847049247 199029802101 329541147741 515436154159 1546308462477 6700670004067 20102010012201