1005501193121 has 2 divisors, whose sum is σ = 1005501193122. Its totient is φ = 1005501193120.

The previous prime is 1005501193093. The next prime is 1005501193127. The reversal of 1005501193121 is 1213911055001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 682996462096 + 322504731025 = 826436^2 + 567895^2 .

It is an emirp because it is prime and its reverse (1213911055001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005501193121 - 2¹⁸ = 1005500930977 is a prime.

It is a super-2 number, since 2×1005501193121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005501193127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502750596560 + 502750596561.

It is an arithmetic number, because the mean of its divisors is an integer number (502750596561).

Almost surely, 2^{1005501193121} is an apocalyptic number.

It is an amenable number.

1005501193121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005501193121 is an equidigital number, since it uses as much as digits as its factorization.

1005501193121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 29.

The spelling of 1005501193121 in words is "one trillion, five billion, five hundred one million, one hundred ninety-three thousand, one hundred twenty-one".