12101112111121 has 24 divisors (see below), whose sum is σ = 13666809399264. Its totient is φ = 10700267160000.

The previous prime is 12101112111119. The next prime is 12101112111131. The reversal of 12101112111121 is 12111121110121.

It is not a de Polignac number, because 12101112111121 - 2¹ = 12101112111119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101112111095 and 12101112111104.

It is not an unprimeable number, because it can be changed into a prime (12101112111131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2042575 + ... + 5326756.

It is an arithmetic number, because the mean of its divisors is an integer number (569450391636).

Almost surely, 2^{12101112111121} is an apocalyptic number.

12101112111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101112111121 is a deficient number, since it is larger than the sum of its proper divisors (1565697288143).

12101112111121 is a wasteful number, since it uses less digits than its factorization.

12101112111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7369725 (or 7369714 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 12101112111121 its reverse (12111121110121), we get a palindrome (24212233221242).

The spelling of 12101112111121 in words is "twelve trillion, one hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-one".