101110001100991 has 2 divisors, whose sum is σ = 101110001100992. Its totient is φ = 101110001100990.

The previous prime is 101110001100961. The next prime is 101110001101001. The reversal of 101110001100991 is 199001100011101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101110001100991 - 2⁵ = 101110001100959 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110001100961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555000550495 + 50555000550496.

It is an arithmetic number, because the mean of its divisors is an integer number (50555000550496).

Almost surely, 2^{101110001100991} is an apocalyptic number.

101110001100991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110001100991 is an equidigital number, since it uses as much as digits as its factorization.

101110001100991 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 25.

The spelling of 101110001100991 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred thousand, nine hundred ninety-one".