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211100101012122 = 23728111649353681
BaseRepresentation
bin101111111111111010010010…
…100010000110101010011010
31000200102222021000000000201020
4233333322102202012222122
5210132131001324341442
62024550014141103310
762315323203205500
oct5777722242065232
91020388230000636
10211100101012122
1161299060720253
121b814744857b36
1390a38670cba4a
143a1b4297d2670
1519612e87879ec
hexbffe92886a9a

211100101012122 has 96 divisors (see below), whose sum is σ = 491775409750464. Its totient is φ = 60235169702400.

The previous prime is 211100101012081. The next prime is 211100101012127. The reversal of 211100101012122 is 221210101001112.

It is a happy number.

It is a super-2 number, since 2×2111001010121222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211100101012127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3932465122 + ... + 3932518802.

It is an arithmetic number, because the mean of its divisors is an integer number (5122660518234).

Almost surely, 2211100101012122 is an apocalyptic number.

211100101012122 is an abundant number, since it is smaller than the sum of its proper divisors (280675308738342).

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

211100101012122 is a wasteful number, since it uses less digits than its factorization.

211100101012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71004 (or 70997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211100101012122 its reverse (221210101001112), we get a palindrome (432310202013234).

The spelling of 211100101012122 in words is "two hundred eleven trillion, one hundred billion, one hundred one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 811 1622 2433 4866 5677 11354 16493 17031 32986 34062 39739 49479 53681 79478 98958 107362 115451 119217 161043 230902 238434 322086 346353 375767 692706 751534 808157 1127301 1616314 2254602 2424471 2630369 4848942 5260738 7891107 13375823 15782214 26751646 40127469 43535291 80254938 87070582 93630761 130605873 187261522 261211746 280892283 304747037 561784566 609494074 655415327 885360733 914241111 1310830654 1770721466 1828482222 1966245981 2133229259 2656082199 3932491962 4266458518 5312164398 6197525131 6399687777 12395050262 12799375554 18592575393 37185150786 43382675917 86765351834 130148027751 260296055502 718027554463 1436055108926 2154082663389 4308165326778 5026192881241 10052385762482 15078578643723 30157157287446 35183350168687 70366700337374 105550050506061 211100101012122