1010605110601 has 2 divisors, whose sum is σ = 1010605110602. Its totient is φ = 1010605110600.

The previous prime is 1010605110527. The next prime is 1010605110607. The reversal of 1010605110601 is 1060115060101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 676637856400 + 333967254201 = 822580^2 + 577899^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010605110601 - 2³⁵ = 976245372233 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010605110607) 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, 505302555300 + 505302555301.

It is an arithmetic number, because the mean of its divisors is an integer number (505302555301).

Almost surely, 2^{1010605110601} is an apocalyptic number.

It is an amenable number.

1010605110601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010605110601 is an equidigital number, since it uses as much as digits as its factorization.

1010605110601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 1010605110601 in words is "one trillion, ten billion, six hundred five million, one hundred ten thousand, six hundred one".