1101225441461 has 2 divisors, whose sum is σ = 1101225441462. Its totient is φ = 1101225441460.

The previous prime is 1101225441439. The next prime is 1101225441467. The reversal of 1101225441461 is 1641445221011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1073646196561 + 27579244900 = 1036169^2 + 166070^2 .

It is an emirp because it is prime and its reverse (1641445221011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1101225441461 - 2³⁴ = 1084045572277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101225441467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550612720730 + 550612720731.

It is an arithmetic number, because the mean of its divisors is an integer number (550612720731).

Almost surely, 2^{1101225441461} is an apocalyptic number.

It is an amenable number.

1101225441461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101225441461 is an equidigital number, since it uses as much as digits as its factorization.

1101225441461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 1101225441461 in words is "one trillion, one hundred one billion, two hundred twenty-five million, four hundred forty-one thousand, four hundred sixty-one".