10012242111121 has 2 divisors, whose sum is σ = 10012242111122. Its totient is φ = 10012242111120.

The previous prime is 10012242111041. The next prime is 10012242111149. The reversal of 10012242111121 is 12111124221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5281447459600 + 4730794651521 = 2298140^2 + 2175039^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012242111121 - 2⁹ = 10012242110609 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012242111191) 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, 5006121055560 + 5006121055561.

It is an arithmetic number, because the mean of its divisors is an integer number (5006121055561).

Almost surely, 2^{10012242111121} is an apocalyptic number.

It is an amenable number.

10012242111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012242111121 is an equidigital number, since it uses as much as digits as its factorization.

10012242111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 10012242111121 its reverse (12111124221001), we get a palindrome (22123366332122).

The spelling of 10012242111121 in words is "ten trillion, twelve billion, two hundred forty-two million, one hundred eleven thousand, one hundred twenty-one".