121122122110121 has 16 divisors (see below), whose sum is σ = 137129058518400. Its totient is φ = 105972242342400.

The previous prime is 121122122110097. The next prime is 121122122110133. The reversal of 121122122110121 is 121011221221121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121122122110121 - 2³⁰ = 121121048368297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121122122110093 and 121122122110102.

It is not an unprimeable number, because it can be changed into a prime (121122122110151) 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 15 ways as a sum of consecutive naturals, for example, 610339976 + ... + 610538393.

It is an arithmetic number, because the mean of its divisors is an integer number (8570566157400).

Almost surely, 2^{121122122110121} is an apocalyptic number.

121122122110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122122110121 is a deficient number, since it is larger than the sum of its proper divisors (16006936408279).

121122122110121 is a wasteful number, since it uses less digits than its factorization.

121122122110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220878720.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 121122122110121 its reverse (121011221221121), we get a palindrome (242133343331242).

The spelling of 121122122110121 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".