1011101010091 has 2 divisors, whose sum is σ = 1011101010092. Its totient is φ = 1011101010090.

The previous prime is 1011101010067. The next prime is 1011101010107. The reversal of 1011101010091 is 1900101011101.

It is an a-pointer prime, because the next prime (1011101010107) can be obtained adding 1011101010091 to its sum of digits (16).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1011101010091 - 2⁹ = 1011101009579 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011101040091) 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, 505550505045 + 505550505046.

It is an arithmetic number, because the mean of its divisors is an integer number (505550505046).

Almost surely, 2^{1011101010091} is an apocalyptic number.

1011101010091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101010091 is an equidigital number, since it uses as much as digits as its factorization.

1011101010091 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 16.

Adding to 1011101010091 its reverse (1900101011101), we get a palindrome (2911202021192).

The spelling of 1011101010091 in words is "one trillion, eleven billion, one hundred one million, ten thousand, ninety-one".