2121113129 has 2 divisors, whose sum is σ = 2121113130. Its totient is φ = 2121113128.

The previous prime is 2121113101. The next prime is 2121113131. The reversal of 2121113129 is 9213111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1776453904 + 344659225 = 42148^2 + 18565^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121113129 - 2¹² = 2121109033 is a prime.

It is a Sophie Germain prime.

Together with 2121113131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2121113329) 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 as a sum of consecutive naturals, namely, 1060556564 + 1060556565.

It is an arithmetic number, because the mean of its divisors is an integer number (1060556565).

Almost surely, 2^2121113129 is an apocalyptic number.

It is an amenable number.

2121113129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121113129 is an equidigital number, since it uses as much as digits as its factorization.

2121113129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 23.

The square root of 2121113129 is about 46055.5439550984. The cubic root of 2121113129 is about 1284.8564549693.

The spelling of 2121113129 in words is "two billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred twenty-nine".