1010341122577 has 2 divisors, whose sum is σ = 1010341122578. Its totient is φ = 1010341122576.

The previous prime is 1010341122509. The next prime is 1010341122587. The reversal of 1010341122577 is 7752211430101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984016384576 + 26324738001 = 991976^2 + 162249^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010341122577 - 2⁷ = 1010341122449 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010341122587) 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, 505170561288 + 505170561289.

It is an arithmetic number, because the mean of its divisors is an integer number (505170561289).

Almost surely, 2^{1010341122577} is an apocalyptic number.

It is an amenable number.

1010341122577 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010341122577 is an equidigital number, since it uses as much as digits as its factorization.

1010341122577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11760, while the sum is 34.

Adding to 1010341122577 its reverse (7752211430101), we get a palindrome (8762552552678).

The spelling of 1010341122577 in words is "one trillion, ten billion, three hundred forty-one million, one hundred twenty-two thousand, five hundred seventy-seven".