1001003122261 has 2 divisors, whose sum is σ = 1001003122262. Its totient is φ = 1001003122260.

The previous prime is 1001003122181. The next prime is 1001003122267. The reversal of 1001003122261 is 1622213001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 949687281361 + 51315840900 = 974519^2 + 226530^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001003122261 - 2⁹ = 1001003121749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001003122267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500501561130 + 500501561131.

It is an arithmetic number, because the mean of its divisors is an integer number (500501561131).

Almost surely, 2^{1001003122261} is an apocalyptic number.

It is an amenable number.

1001003122261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001003122261 is an equidigital number, since it uses as much as digits as its factorization.

1001003122261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1001003122261 its reverse (1622213001001), we get a palindrome (2623216123262).

The spelling of 1001003122261 in words is "one trillion, one billion, three million, one hundred twenty-two thousand, two hundred sixty-one".