101110110099991 has 2 divisors, whose sum is σ = 101110110099992. Its totient is φ = 101110110099990.

The previous prime is 101110110099989. The next prime is 101110110100073. The reversal of 101110110099991 is 199990011011101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101110110099991 - 2¹ = 101110110099989 is a prime.

Together with 101110110099989, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110110799991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055049995 + 50555055049996.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055049996).

Almost surely, 2^{101110110099991} is an apocalyptic number.

101110110099991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110110099991 is an equidigital number, since it uses as much as digits as its factorization.

101110110099991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 43.

The spelling of 101110110099991 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, ninety-nine thousand, nine hundred ninety-one".