2012121101329 has 2 divisors, whose sum is σ = 2012121101330. Its totient is φ = 2012121101328.

The previous prime is 2012121101299. The next prime is 2012121101339. The reversal of 2012121101329 is 9231011212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1070134387729 + 941986713600 = 1034473^2 + 970560^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012121101329 - 2⁵ = 2012121101297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012121101339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006060550664 + 1006060550665.

It is an arithmetic number, because the mean of its divisors is an integer number (1006060550665).

Almost surely, 2^{2012121101329} is an apocalyptic number.

It is an amenable number.

2012121101329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012121101329 is an equidigital number, since it uses as much as digits as its factorization.

2012121101329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 2012121101329 in words is "two trillion, twelve billion, one hundred twenty-one million, one hundred one thousand, three hundred twenty-nine".