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10020202101221 = 1317219594794967
BaseRepresentation
bin1001000111010000001010…
…0101100011100111100101
31022110220220010001022211112
42101310002211203213211
52303132333214214341
633151114534114405
72052635643356504
oct221640245434745
938426803038745
1010020202101221
1132135a8950744
121159b954aba05
13578b93674980
14268da21c283b
151259ad7d0aeb
hex91d029639e5

10020202101221 has 96 divisors (see below), whose sum is σ = 12299019264000. Its totient is φ = 8088821664768.

The previous prime is 10020202101197. The next prime is 10020202101227. The reversal of 10020202101221 is 12210120202001.

It is a de Polignac number, because none of the positive numbers 2k-10020202101221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10020202101196 and 10020202101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020202101227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2017352480 + ... + 2017357446.

It is an arithmetic number, because the mean of its divisors is an integer number (128114784000).

Almost surely, 210020202101221 is an apocalyptic number.

It is an amenable number.

10020202101221 is a deficient number, since it is larger than the sum of its proper divisors (2278817162779).

10020202101221 is a wasteful number, since it uses less digits than its factorization.

10020202101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10020202101221 its reverse (12210120202001), we get a palindrome (22230322303222).

The spelling of 10020202101221 in words is "ten trillion, twenty billion, two hundred two million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 13 17 19 59 221 247 289 323 479 767 1003 1121 3757 4199 4967 5491 6227 8143 9101 13039 14573 17051 19057 28261 64571 71383 84439 94373 105859 118313 138431 154717 221663 247741 293053 323969 367393 480437 536959 1097707 1226849 1435463 1604341 1799603 2011321 2379193 2630189 3809689 4211597 4981901 5568007 6245681 6980467 8167429 9128303 18661019 20856433 27273797 30929509 34192457 40446281 45204667 64764713 72384091 84692317 94656119 106176577 118667939 140372387 155181151 354559361 525801653 587660671 687586777 768479339 1101000121 1230529547 1609154023 1824841031 2017354963 2386330579 2667075353 8938628101 9990231407 13064148763 20919002299 31022297527 34671979589 40567619843 45340281001 169833933919 527379057959 589423653013 770784777017 10020202101221