101001110000993 has 2 divisors, whose sum is σ = 101001110000994. Its totient is φ = 101001110000992.

The previous prime is 101001110000977. The next prime is 101001110001149. The reversal of 101001110000993 is 399000011100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76359337454689 + 24641772546304 = 8738383^2 + 4964048^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001110000993 - 2⁴ = 101001110000977 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001110000963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500555000496 + 50500555000497.

It is an arithmetic number, because the mean of its divisors is an integer number (50500555000497).

Almost surely, 2^{101001110000993} is an apocalyptic number.

It is an amenable number.

101001110000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001110000993 is an equidigital number, since it uses as much as digits as its factorization.

101001110000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 26.

The spelling of 101001110000993 in words is "one hundred one trillion, one billion, one hundred ten million, nine hundred ninety-three", and thus it is an aban number.