101110011105011 has 2 divisors, whose sum is σ = 101110011105012. Its totient is φ = 101110011105010.

The previous prime is 101110011104951. The next prime is 101110011105013. The reversal of 101110011105011 is 110501110011101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101110011105011 - 2²⁶ = 101109943996147 is a prime.

Together with 101110011105013, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101110011105013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555005552505 + 50555005552506.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005552506).

Almost surely, 2^{101110011105011} is an apocalyptic number.

101110011105011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110011105011 is an equidigital number, since it uses as much as digits as its factorization.

101110011105011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 14.

Adding to 101110011105011 its reverse (110501110011101), we get a palindrome (211611121116112).

The spelling of 101110011105011 in words is "one hundred one trillion, one hundred ten billion, eleven million, one hundred five thousand, eleven".