2121110220121 has 2 divisors, whose sum is σ = 2121110220122. Its totient is φ = 2121110220120.

The previous prime is 2121110220091. The next prime is 2121110220211. The reversal of 2121110220121 is 1210220111212.

Together with next prime (2121110220211) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1906056360000 + 215053860121 = 1380600^2 + 463739^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121110220121 - 2¹⁹ = 2121109695833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121110220095 and 2121110220104.

It is not a weakly prime, because it can be changed into another prime (2121110220821) 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 as a sum of consecutive naturals, namely, 1060555110060 + 1060555110061.

It is an arithmetic number, because the mean of its divisors is an integer number (1060555110061).

Almost surely, 2^{2121110220121} is an apocalyptic number.

It is an amenable number.

2121110220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121110220121 is an equidigital number, since it uses as much as digits as its factorization.

2121110220121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121110220121 its reverse (1210220111212), we get a palindrome (3331330331333).

The spelling of 2121110220121 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty thousand, one hundred twenty-one".