101000093 has 2 divisors, whose sum is σ = 101000094. Its totient is φ = 101000092.

The previous prime is 101000059. The next prime is 101000113. The reversal of 101000093 is 390000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85618009 + 15382084 = 9253^2 + 3922^2 .

It is an emirp because it is prime and its reverse (390000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000093 - 2²⁶ = 33891229 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500046 + 50500047.

It is an arithmetic number, because the mean of its divisors is an integer number (50500047).

Almost surely, 2^101000093 is an apocalyptic number.

It is an amenable number.

101000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000093 is an equidigital number, since it uses as much as digits as its factorization.

101000093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 101000093 is about 10049.8802480428. The cubic root of 101000093 is about 465.7010937183.

Adding to 101000093 its reverse (390000101), we get a palindrome (491000194).

The spelling of 101000093 in words is "one hundred one million, ninety-three", and thus it is an aban number.