1001003122181 has 2 divisors, whose sum is σ = 1001003122182. Its totient is φ = 1001003122180.

The previous prime is 1001003122139. The next prime is 1001003122261. The reversal of 1001003122181 is 1812213001001.

It is a happy number.

1001003122181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 977122365025 + 23880757156 = 988495^2 + 154534^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001003122181 - 2²⁶ = 1000936013317 is a prime.

It is a super-2 number, since 2×1001003122181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001003122681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500501561090 + 500501561091.

It is an arithmetic number, because the mean of its divisors is an integer number (500501561091).

Almost surely, 2^{1001003122181} is an apocalyptic number.

It is an amenable number.

1001003122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001003122181 is an equidigital number, since it uses as much as digits as its factorization.

1001003122181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 1001003122181 its reverse (1812213001001), we get a palindrome (2813216123182).

The spelling of 1001003122181 in words is "one trillion, one billion, three million, one hundred twenty-two thousand, one hundred eighty-one".