12101122110121 has 8 divisors (see below), whose sum is σ = 13202088427584. Its totient is φ = 11000299843920.

The previous prime is 12101122110089. The next prime is 12101122110149.

12101122110121 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12101122110121 - 2⁵ = 12101122110089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101122110095 and 12101122110104.

It is not an unprimeable number, because it can be changed into a prime (12101122110191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35837125 + ... + 36173218.

It is an arithmetic number, because the mean of its divisors is an integer number (1650261053448).

Almost surely, 2^{12101122110121} is an apocalyptic number.

12101122110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101122110121 is a deficient number, since it is larger than the sum of its proper divisors (1100966317463).

12101122110121 is a wasteful number, since it uses less digits than its factorization.

12101122110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72025631.

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

It can be divided in two parts, 1210112 and 2110121, that added together give a palindrome (3320233).

The spelling of 12101122110121 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".