1012121587793 has 2 divisors, whose sum is σ = 1012121587794. Its totient is φ = 1012121587792.

The previous prime is 1012121587747. The next prime is 1012121587817. The reversal of 1012121587793 is 3977851212101.

1012121587793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009116684304 + 3004903489 = 1004548^2 + 54817^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012121587793 is a prime.

It is a super-2 number, since 2×1012121587793² (a number of 25 digits) contains 22 as substring.

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 (1012121587723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506060793896 + 506060793897.

It is an arithmetic number, because the mean of its divisors is an integer number (506060793897).

Almost surely, 2^{1012121587793} is an apocalyptic number.

It is an amenable number.

1012121587793 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012121587793 is an equidigital number, since it uses as much as digits as its factorization.

1012121587793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 47.

Adding to 1012121587793 its reverse (3977851212101), we get a palindrome (4989972799894).

The spelling of 1012121587793 in words is "one trillion, twelve billion, one hundred twenty-one million, five hundred eighty-seven thousand, seven hundred ninety-three".