1001010101053 has 2 divisors, whose sum is σ = 1001010101054. Its totient is φ = 1001010101052.

The previous prime is 1001010100967. The next prime is 1001010101089. The reversal of 1001010101053 is 3501010101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 627203809444 + 373806291609 = 791962^2 + 611397^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010101053 - 2³³ = 992420166461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001010101653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505050526 + 500505050527.

It is an arithmetic number, because the mean of its divisors is an integer number (500505050527).

Almost surely, 2^{1001010101053} is an apocalyptic number.

It is an amenable number.

1001010101053 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010101053 is an equidigital number, since it uses as much as digits as its factorization.

1001010101053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 13.

Adding to 1001010101053 its reverse (3501010101001), we get a palindrome (4502020202054).

The spelling of 1001010101053 in words is "one trillion, one billion, ten million, one hundred one thousand, fifty-three".