1001101001093 has 2 divisors, whose sum is σ = 1001101001094. Its totient is φ = 1001101001092.

The previous prime is 1001101000997. The next prime is 1001101001101. The reversal of 1001101001093 is 3901001011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 687071894404 + 314029106689 = 828898^2 + 560383^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001101001093 - 2¹⁸ = 1001100738949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001101004093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550500546 + 500550500547.

It is an arithmetic number, because the mean of its divisors is an integer number (500550500547).

Almost surely, 2^{1001101001093} is an apocalyptic number.

It is an amenable number.

1001101001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101001093 is an equidigital number, since it uses as much as digits as its factorization.

1001101001093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 1001101001093 its reverse (3901001011001), we get a palindrome (4902102012094).

The spelling of 1001101001093 in words is "one trillion, one billion, one hundred one million, one thousand, ninety-three".