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12101111110121 = 111100101010011
BaseRepresentation
bin1011000000011000001001…
…1011011101100111101001
31120211212002020110200120212
42300012002123131213221
53041231033421010441
641423101304030505
72356163546166065
oct260060233354751
946755066420525
1012101111110121
113946063823430
121435339762435
1369a18c46cc27
142db9a8430aa5
1515eb9e987eeb
hexb01826dd9e9

12101111110121 has 4 divisors (see below), whose sum is σ = 13201212120144. Its totient is φ = 11001010100100.

The previous prime is 12101111110057. The next prime is 12101111110129.

12101111110121 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12101111110121 - 26 = 12101111110057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12101111110096 and 12101111110105.

It is not an unprimeable number, because it can be changed into a prime (12101111110129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550050504995 + ... + 550050505016.

It is an arithmetic number, because the mean of its divisors is an integer number (3300303030036).

Almost surely, 212101111110121 is an apocalyptic number.

12101111110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101111110121 is a deficient number, since it is larger than the sum of its proper divisors (1100101010023).

12101111110121 is a wasteful number, since it uses less digits than its factorization.

12101111110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100101010022.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1210111 and 1110121, that multiplied together give a palindrome (1343369633431).

The spelling of 12101111110121 in words is "twelve trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 11 1100101010011 12101111110121