2011719205121 has 2 divisors, whose sum is σ = 2011719205122. Its totient is φ = 2011719205120.

The previous prime is 2011719205057. The next prime is 2011719205147. The reversal of 2011719205121 is 1215029171102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1946917902400 + 64801302721 = 1395320^2 + 254561^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011719205121 - 2⁶ = 2011719205057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011719205151) 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 as a sum of consecutive naturals, namely, 1005859602560 + 1005859602561.

It is an arithmetic number, because the mean of its divisors is an integer number (1005859602561).

Almost surely, 2^{2011719205121} is an apocalyptic number.

It is an amenable number.

2011719205121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011719205121 is an equidigital number, since it uses as much as digits as its factorization.

2011719205121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 32.

The spelling of 2011719205121 in words is "two trillion, eleven billion, seven hundred nineteen million, two hundred five thousand, one hundred twenty-one".