12110100101121 has 32 divisors (see below), whose sum is σ = 18155144244096. Its totient is φ = 7115677632000.

The previous prime is 12110100101117. The next prime is 12110100101149.

12110100101121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12110100101121 - 2² = 12110100101117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12110100101097 and 12110100101106.

It is not an unprimeable number, because it can be changed into a prime (12110100103121) 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 31 ways as a sum of consecutive naturals, for example, 17304910 + ... + 17991111.

It is an arithmetic number, because the mean of its divisors is an integer number (567348257628).

Almost surely, 2^{12110100101121} is an apocalyptic number.

12110100101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12110100101121 is a deficient number, since it is larger than the sum of its proper divisors (6045044142975).

12110100101121 is a wasteful number, since it uses less digits than its factorization.

12110100101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35296353.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 12110100 and 101121, that added together give a palindrome (12211221).

The spelling of 12110100101121 in words is "twelve trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred twenty-one".