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201010011221001 = 33747101653733797
BaseRepresentation
bin101101101101000101001010…
…010100001010110000001001
3222100201100222021221012111110
4231231011022110022300021
5202321322000333033001
61551302420243120533
760224331315122013
oct5555051224126011
9870640867835443
10201010011221001
115905895a017804
121a665106073149
138821216673418
14378cd178b11b3
151838ae967d3d6
hexb6d14a50ac09

201010011221001 has 128 divisors (see below), whose sum is σ = 285076682827776. Its totient is φ = 125823590092800.

The previous prime is 201010011220981. The next prime is 201010011221009. The reversal of 201010011221001 is 100122110010102.

It is not a de Polignac number, because 201010011221001 - 27 = 201010011220873 is a prime.

It is a super-2 number, since 2×2010100112210012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201010011221009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252208294735 + ... + 252208295531.

It is an arithmetic number, because the mean of its divisors is an integer number (2227161584592).

Almost surely, 2201010011221001 is an apocalyptic number.

It is an amenable number.

201010011221001 is a deficient number, since it is larger than the sum of its proper divisors (84066671606775).

201010011221001 is a wasteful number, since it uses less digits than its factorization.

201010011221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201010011221001 its reverse (100122110010102), we get a palindrome (301132121231103).

The spelling of 201010011221001 in words is "two hundred one trillion, ten billion, eleven million, two hundred twenty-one thousand, one".

Divisors: 1 3 37 47 101 111 141 303 653 733 797 1739 1959 2199 2391 3737 4747 5217 11211 14241 24161 27121 29489 30691 34451 37459 65953 72483 74033 80497 81363 88467 92073 103353 112377 175639 197859 222099 241491 478649 520441 526917 584201 1135567 1274687 1385983 1435947 1561323 1752603 2440261 2739221 2978389 3099791 3406701 3479551 3783359 3824061 4157949 7320783 8217663 8935167 9299373 10438653 11350077 17710013 19256317 21615437 22496503 24460727 27457447 48343549 52564541 53130039 57768951 59004301 64846311 67489509 73382181 82372341 114692267 128743387 139984283 145030647 157693623 177012903 344076801 381483253 386230161 419952849 832370611 905046899 1015925539 1144449759 1788711313 1944888017 2183159137 2272146803 2470533427 2497111833 2715140697 2773202147 3047776617 5366133939 5834664051 6549477411 6816440409 7411600281 8319606441 14114880361 17929712891 38529808553 42344641083 53789138673 84069431711 91409736799 102608479439 115589425659 252208295133 274229210397 307825438317 663399376967 1425602916461 1810901001991 1990198130901 4276808749383 5432703005973 67003337073667 201010011221001