12120122102121 has 96 divisors (see below), whose sum is σ = 20562593845248. Its totient is φ = 6805765739520.

The previous prime is 12120122102083. The next prime is 12120122102131.

12120122102121 is a `hidden beast` number, since 121 + 201 + 221 + 0 + 2 + 121 = 666.

12120122102121 is nontrivially palindromic in base 10.

12120122102121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12120122102121 - 2¹⁰ = 12120122101097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12120122102094 and 12120122102103.

It is not an unprimeable number, because it can be changed into a prime (12120122102131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9797070 + ... + 10964616.

It is an arithmetic number, because the mean of its divisors is an integer number (214193685888).

Almost surely, 2^{12120122102121} is an apocalyptic number.

12120122102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120122102121 is a deficient number, since it is larger than the sum of its proper divisors (8442471743127).

12120122102121 is a wasteful number, since it uses less digits than its factorization.

12120122102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167731 (or 1167728 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1212012 and 2102121, that added together give a palindrome (3314133).

The spelling of 12120122102121 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".