101101100100991 has 2 divisors, whose sum is σ = 101101100100992. Its totient is φ = 101101100100990.

The previous prime is 101101100100929. The next prime is 101101100101007. The reversal of 101101100100991 is 199001001101101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101101100100991 - 2¹⁵ = 101101100068223 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101100100911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550050495 + 50550550050496.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550050496).

Almost surely, 2^{101101100100991} is an apocalyptic number.

101101100100991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100100991 is an equidigital number, since it uses as much as digits as its factorization.

101101100100991 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 101101100100991 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred thousand, nine hundred ninety-one".