101111010000991 has 2 divisors, whose sum is σ = 101111010000992. Its totient is φ = 101111010000990.

The previous prime is 101111010000977. The next prime is 101111010001081. The reversal of 101111010000991 is 199000010111101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101111010000991 - 2¹⁹ = 101111009476703 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111010000901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555505000495 + 50555505000496.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505000496).

Almost surely, 2^{101111010000991} is an apocalyptic number.

101111010000991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111010000991 is an equidigital number, since it uses as much as digits as its factorization.

101111010000991 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 101111010000991 in words is "one hundred one trillion, one hundred eleven billion, ten million, nine hundred ninety-one", and thus it is an aban number.