12121100112121 has 16 divisors (see below), whose sum is σ = 16274484067968. Its totient is φ = 8718473606400.

The previous prime is 12121100112091. The next prime is 12121100112157.

12121100112121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12121100112121 - 2¹⁷ = 12121099981049 is a prime.

It is a super-2 number, since 2×12121100112121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121100112095 and 12121100112104.

It is not an unprimeable number, because it can be changed into a prime (12121100112161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6054494560 + ... + 6054496561.

It is an arithmetic number, because the mean of its divisors is an integer number (1017155254248).

Almost surely, 2^{12121100112121} is an apocalyptic number.

12121100112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121100112121 is a deficient number, since it is larger than the sum of its proper divisors (4153383955847).

12121100112121 is a wasteful number, since it uses less digits than its factorization.

12121100112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108991152.

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

It can be divided in two parts, 12121100 and 112121, that added together give a palindrome (12233221).

The spelling of 12121100112121 in words is "twelve trillion, one hundred twenty-one billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".