2121113131229 has 2 divisors, whose sum is σ = 2121113131230. Its totient is φ = 2121113131228.

The previous prime is 2121113131177. The next prime is 2121113131279. The reversal of 2121113131229 is 9221313111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2097060223129 + 24052908100 = 1448123^2 + 155090^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121113131229 - 2⁸ = 2121113130973 is a prime.

It is a super-3 number, since 3×2121113131229³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121113131279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060556565614 + 1060556565615.

It is an arithmetic number, because the mean of its divisors is an integer number (1060556565615).

Almost surely, 2^{2121113131229} is an apocalyptic number.

It is an amenable number.

2121113131229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121113131229 is an equidigital number, since it uses as much as digits as its factorization.

2121113131229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 29.

The spelling of 2121113131229 in words is "two trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred thirty-one thousand, two hundred twenty-nine".