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121210011100101 = 37117166111539697
BaseRepresentation
bin11011100011110101100111…
…101001111010001111000101
3120220011120020002010201112010
4123203311213221322033011
5111341401100320200401
61105443035502044433
734350064032633030
oct3343654751721705
9526146202121463
10121210011100101
1135691971366a50
121171738b579719
135283093aba341
1421d084adaa017
15e02e3d192ed6
hex6e3d67a7a3c5

121210011100101 has 128 divisors (see below), whose sum is σ = 204837609480192. Its totient is φ = 61925326848000.

The previous prime is 121210011100091. The next prime is 121210011100121. The reversal of 121210011100101 is 101001110012121.

It is not a de Polignac number, because 121210011100101 - 27 = 121210011099973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121210011100121) 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, 12499738485 + ... + 12499748181.

It is an arithmetic number, because the mean of its divisors is an integer number (1600293824064).

Almost surely, 2121210011100101 is an apocalyptic number.

121210011100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121210011100101 is a deficient number, since it is larger than the sum of its proper divisors (83627598380091).

121210011100101 is a wasteful number, since it uses less digits than its factorization.

121210011100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11603.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121210011100101 its reverse (101001110012121), we get a palindrome (222211121112222).

The spelling of 121210011100101 in words is "one hundred twenty-one trillion, two hundred ten billion, eleven million, one hundred thousand, one hundred one".

Divisors: 1 3 7 11 21 33 71 77 213 231 497 661 781 1153 1491 1983 2343 3459 4627 5467 7271 8071 9697 12683 13881 16401 21813 24213 29091 38049 46931 50897 67879 81863 88781 106667 140793 152691 203637 245589 266343 320001 328517 516241 573041 688487 746669 762133 900493 985551 1548723 1719123 2065461 2240007 2286399 2701479 3613687 4819409 5334931 6303451 6409717 7573357 8383463 10841061 11180641 14458227 16004793 18910353 19229151 22720071 25150389 33541923 44868019 53013499 54111443 58684241 70506887 78264487 122987051 134604057 159040497 162334329 176052723 211520661 234793461 368961153 378780101 455089907 493548209 595225873 793825511 860909357 1136340303 1365269721 1480644627 1785677619 2381476533 2582728071 3185629349 4166581111 5005988977 5556778577 7390403701 8732080621 9556888047 12499743333 15017966931 16670335731 22171211103 26196241863 35041922839 51732825907 61124564347 81294440711 105125768517 155198477721 183373693041 243883322133 524718662771 569061084977 1574155988313 1707183254931 3673030639397 5771905290481 11019091918191 17315715871443 40403337033367 121210011100101