101001111109991 has 2 divisors, whose sum is σ = 101001111109992. Its totient is φ = 101001111109990.

The previous prime is 101001111109979. The next prime is 101001111110077. The reversal of 101001111109991 is 199901111100101.

It is a weak prime.

It is an emirp because it is prime and its reverse (199901111100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001111109991 - 2¹⁰ = 101001111108967 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001111109291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500555554995 + 50500555554996.

It is an arithmetic number, because the mean of its divisors is an integer number (50500555554996).

Almost surely, 2^{101001111109991} is an apocalyptic number.

101001111109991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001111109991 is an equidigital number, since it uses as much as digits as its factorization.

101001111109991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 35.

The spelling of 101001111109991 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred nine thousand, nine hundred ninety-one".