2120120110121 has 6 divisors (see below), whose sum is σ = 2295751362030. Its totient is φ = 1957033947648.

The previous prime is 2120120110117. The next prime is 2120120110133. The reversal of 2120120110121 is 1210110210212.

It can be written as a sum of positive squares in 3 ways, for example, as 31548864400 + 2088571245721 = 177620^2 + 1445189^2 .

It is not a de Polignac number, because 2120120110121 - 2² = 2120120110117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2120120110096 and 2120120110105.

It is not an unprimeable number, because it can be changed into a prime (2120120110621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6272544536 + ... + 6272544873.

It is an arithmetic number, because the mean of its divisors is an integer number (382625227005).

Almost surely, 2^{2120120110121} is an apocalyptic number.

It is an amenable number.

2120120110121 is a deficient number, since it is larger than the sum of its proper divisors (175631251909).

2120120110121 is a wasteful number, since it uses less digits than its factorization.

2120120110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545089435 (or 12545089422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2120120110121 its reverse (1210110210212), we get a palindrome (3330230320333).

The spelling of 2120120110121 in words is "two trillion, one hundred twenty billion, one hundred twenty million, one hundred ten thousand, one hundred twenty-one".