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201101001221010 = 235114788871458973
BaseRepresentation
bin101101101110011001111001…
…101111011110001110010010
3222101001001211112200010022210
4231232121321233132032102
5202324314322303033020
61551412305150412550
760234032165266662
oct5556317157361622
9871031745603283
10201101001221010
1159093501551520
121a67a87a501156
138829987611007
1437934aa0761a2
15183b1728b33e0
hexb6e679bde392

201101001221010 has 128 divisors (see below), whose sum is σ = 537782391742464. Its totient is φ = 47709084706560.

The previous prime is 201101001220967. The next prime is 201101001221011. The reversal of 201101001221010 is 10122100101102.

It is a super-2 number, since 2×2011010012210102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201101001221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137107884 + ... + 138566856.

It is an arithmetic number, because the mean of its divisors is an integer number (4201424935488).

Almost surely, 2201101001221010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101001221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268891195871232).

201101001221010 is an abundant number, since it is smaller than the sum of its proper divisors (336681390521454).

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

201101001221010 is a wasteful number, since it uses less digits than its factorization.

201101001221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467928.

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

Adding to 201101001221010 its reverse (10122100101102), we get a palindrome (211223101322112).

The spelling of 201101001221010 in words is "two hundred one trillion, one hundred one billion, one million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 5170 7755 8887 15510 17774 26661 44435 53322 88870 97757 133305 195514 266610 293271 417689 488785 586542 835378 977570 1253067 1458973 1466355 2088445 2506134 2917946 2932710 4176890 4376919 4594579 6265335 7294865 8753838 9189158 12530670 13783737 14589730 16048703 21884595 22972895 27567474 32097406 43769190 45945790 48146109 68571731 68918685 80243515 96292218 137143462 137837370 160487030 205715193 240730545 342858655 411430386 481461090 685717310 754289041 1028575965 1508578082 2057151930 2262867123 3771445205 4525734246 7542890410 11314335615 12965893051 22628671230 25931786102 38897679153 64829465255 77795358306 129658930510 142624823561 194488395765 285249647122 388976791530 427874470683 609396973397 713124117805 855748941366 1218793946794 1426248235610 1828190920191 2139372353415 3046984866985 3656381840382 4278744706830 6093969733970 6703366707367 9140954600955 13406733414734 18281909201910 20110100122101 33516833536835 40220200244202 67033667073670 100550500610505 201101001221010