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12101011022011 = 435979568910613
BaseRepresentation
bin1011000000010111110001…
…1101101010000010111011
31120211211211021010200111211
42300011330131222002323
53041230332310201021
641423043330503551
72356161222356032
oct260057435520273
946754737120454
1012101011022011
11394601228178a
121435310134bb7
1369a1747c82b2
142db999019719
1515eb95cb73e1
hexb017c76a0bb

12101011022011 has 32 divisors (see below), whose sum is σ = 12755140992000. Its totient is φ = 11469083528448.

The previous prime is 12101011021963. The next prime is 12101011022021. The reversal of 12101011022011 is 11022011010121.

It is a happy number.

12101011022011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12101011022011 - 223 = 12101002633403 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101011021982 and 12101011022000.

It is not an unprimeable number, because it can be changed into a prime (12101011022021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140201141 + ... + 1140211753.

It is an arithmetic number, because the mean of its divisors is an integer number (398598156000).

Almost surely, 212101011022011 is an apocalyptic number.

12101011022011 is a deficient number, since it is larger than the sum of its proper divisors (654129969989).

12101011022011 is a wasteful number, since it uses less digits than its factorization.

12101011022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16483.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12101011022011 its reverse (11022011010121), we get a palindrome (23123022032132).

The spelling of 12101011022011 in words is "twelve trillion, one hundred one billion, eleven million, twenty-two thousand, eleven".

Divisors: 1 43 59 79 2537 3397 4661 5689 10613 200423 244627 335651 449431 456359 626167 838427 14432993 19325533 26516429 26925181 36052361 49467193 60377357 1140206447 2127089299 2596226351 3562264063 4769811203 153177354709 205101881729 281418860977 12101011022011