1001001109057 has 2 divisors, whose sum is σ = 1001001109058. Its totient is φ = 1001001109056.

The previous prime is 1001001109049. The next prime is 1001001109063. The reversal of 1001001109057 is 7509011001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 779916830641 + 221084278416 = 883129^2 + 470196^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001001109057 - 2³ = 1001001109049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001001106057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500554528 + 500500554529.

It is an arithmetic number, because the mean of its divisors is an integer number (500500554529).

Almost surely, 2^{1001001109057} is an apocalyptic number.

It is an amenable number.

1001001109057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001001109057 is an equidigital number, since it uses as much as digits as its factorization.

1001001109057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 25.

The spelling of 1001001109057 in words is "one trillion, one billion, one million, one hundred nine thousand, fifty-seven".