1051101010601 has 2 divisors, whose sum is σ = 1051101010602. Its totient is φ = 1051101010600.

The previous prime is 1051101010573. The next prime is 1051101010627. The reversal of 1051101010601 is 1060101011501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 686917728025 + 364183282576 = 828805^2 + 603476^2 .

It is a cyclic number.

It is not a de Polignac number, because 1051101010601 - 2⁶ = 1051101010537 is a prime.

It is a super-2 number, since 2×1051101010601² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1051101010601.

It is not a weakly prime, because it can be changed into another prime (1051101010501) 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, 525550505300 + 525550505301.

It is an arithmetic number, because the mean of its divisors is an integer number (525550505301).

Almost surely, 2^{1051101010601} is an apocalyptic number.

It is an amenable number.

1051101010601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1051101010601 is an equidigital number, since it uses as much as digits as its factorization.

1051101010601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 17.

The spelling of 1051101010601 in words is "one trillion, fifty-one billion, one hundred one million, ten thousand, six hundred one".