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12101114242221 = 343495118947099
BaseRepresentation
bin1011000000011000001010…
…0111011010010010101101
31120211212002110100211000120
42300012002213122102231
53041231040221222341
641423101455115153
72356163614622424
oct260060247322255
946755073324016
1012101114242221
113946065572644
12143533a812ab9
1369a18ccc8744
142db9a8a082bb
1515eb9eda6066
hexb01829da4ad

12101114242221 has 16 divisors (see below), whose sum is σ = 16513382899200. Its totient is φ = 7878203348400.

The previous prime is 12101114242207. The next prime is 12101114242241. The reversal of 12101114242221 is 12224241110121.

It is not a de Polignac number, because 12101114242221 - 218 = 12101113980077 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12101114242191 and 12101114242200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101114242241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8834871 + ... + 10112228.

It is an arithmetic number, because the mean of its divisors is an integer number (1032086431200).

Almost surely, 212101114242221 is an apocalyptic number.

It is an amenable number.

12101114242221 is a deficient number, since it is larger than the sum of its proper divisors (4412268656979).

12101114242221 is a wasteful number, since it uses less digits than its factorization.

12101114242221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18952096.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 12101114242221 its reverse (12224241110121), we get a palindrome (24325355352342).

The spelling of 12101114242221 in words is "twelve trillion, one hundred one billion, one hundred fourteen million, two hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 43 129 4951 14853 212893 638679 18947099 56841297 814725257 2444175771 93807087149 281421261447 4033704747407 12101114242221