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11112100120121 = 7111321315209291
BaseRepresentation
bin1010000110110011110011…
…0001111100011000111001
31110100022021100210210220012
42201230330301330120321
52424030040112320441
635344454530111305
72224552125401060
oct241547461743071
943308240723805
1011112100120121
1135a468490a390
1212b5723a1b535
13627b35a51690
142a5b856371d7
151440b7d3e9eb
hexa1b3cc7c639

11112100120121 has 32 divisors (see below), whose sum is σ = 14926746971136. Its totient is φ = 7988967144000.

The previous prime is 11112100120103. The next prime is 11112100120183. The reversal of 11112100120121 is 12102100121111.

It is a cyclic number.

It is not a de Polignac number, because 11112100120121 - 222 = 11112095925817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11112100120096 and 11112100120105.

It is not an unprimeable number, because it can be changed into a prime (11112100120621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471515 + ... + 4737776.

It is an arithmetic number, because the mean of its divisors is an integer number (466460842848).

Almost surely, 211112100120121 is an apocalyptic number.

11112100120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11112100120121 is a deficient number, since it is larger than the sum of its proper divisors (3814646851015).

11112100120121 is a wasteful number, since it uses less digits than its factorization.

11112100120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211453.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11112100120121 its reverse (12102100121111), we get a palindrome (23214200241232).

The spelling of 11112100120121 in words is "eleven trillion, one hundred twelve billion, one hundred million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 2131 14917 23441 27703 164087 193921 304733 2133131 5209291 36465037 57302201 67720783 401115407 474045481 744928613 5214500291 11100999121 77706993847 122110990331 144312988573 854776932317 1010190920011 1587442874303 11112100120121