12100000121 has 12 divisors (see below), whose sum is σ = 14082355476. Its totient is φ = 10352939520.

The previous prime is 12100000063. The next prime is 12100000141.

12100000121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 9421420096 + 2678580025 = 97064^2 + 51755^2 .

It is not a de Polignac number, because 12100000121 - 2¹⁸ = 12099737977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100000099 and 12100000108.

It is not an unprimeable number, because it can be changed into a prime (12100000141) 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 11 ways as a sum of consecutive naturals, for example, 2939120 + ... + 2943233.

It is an arithmetic number, because the mean of its divisors is an integer number (1173529623).

Almost surely, 2^12100000121 is an apocalyptic number.

12100000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100000121 is a deficient number, since it is larger than the sum of its proper divisors (1982355355).

12100000121 is a wasteful number, since it uses less digits than its factorization.

12100000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882392 (or 5882381 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 12100000 and 121, that added together give a palindrome (12100121).

The spelling of 12100000121 in words is "twelve billion, one hundred million, one hundred twenty-one", and thus it is an aban number.