101000011000991 has 2 divisors, whose sum is σ = 101000011000992. Its totient is φ = 101000011000990.

The previous prime is 101000011000873. The next prime is 101000011001027. The reversal of 101000011000991 is 199000110000101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101000011000991 - 2¹⁰ = 101000010999967 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000011008991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005500495 + 50500005500496.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005500496).

Almost surely, 2^{101000011000991} is an apocalyptic number.

101000011000991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000011000991 is an equidigital number, since it uses as much as digits as its factorization.

101000011000991 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 23.

The spelling of 101000011000991 in words is "one hundred one trillion, eleven million, nine hundred ninety-one", and thus it is an aban number.