1000001001091 has 2 divisors, whose sum is σ = 1000001001092. Its totient is φ = 1000001001090.

The previous prime is 1000001001059. The next prime is 1000001001107. The reversal of 1000001001091 is 1901001000001.

It is a strong prime.

It is an emirp because it is prime and its reverse (1901001000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000001001091 - 2⁵ = 1000001001059 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000001001691) 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, 500000500545 + 500000500546.

It is an arithmetic number, because the mean of its divisors is an integer number (500000500546).

Almost surely, 2^{1000001001091} is an apocalyptic number.

1000001001091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000001001091 is an equidigital number, since it uses as much as digits as its factorization.

1000001001091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1000001001091 its reverse (1901001000001), we get a palindrome (2901002001092).

The spelling of 1000001001091 in words is "one trillion, one million, one thousand, ninety-one".