1012121001113 has 2 divisors, whose sum is σ = 1012121001114. Its totient is φ = 1012121001112.

The previous prime is 1012121001077. The next prime is 1012121001119. The reversal of 1012121001113 is 3111001212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984960972304 + 27160028809 = 992452^2 + 164803^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012121001113 - 2²² = 1012116806809 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1012121001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506060500556 + 506060500557.

It is an arithmetic number, because the mean of its divisors is an integer number (506060500557).

Almost surely, 2^{1012121001113} is an apocalyptic number.

It is an amenable number.

1012121001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012121001113 is an equidigital number, since it uses as much as digits as its factorization.

1012121001113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1012121001113 its reverse (3111001212101), we get a palindrome (4123122213214).

The spelling of 1012121001113 in words is "one trillion, twelve billion, one hundred twenty-one million, one thousand, one hundred thirteen".