101000993 has 2 divisors, whose sum is σ = 101000994. Its totient is φ = 101000992.

The previous prime is 101000989. The next prime is 101001001. The reversal of 101000993 is 399000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53831569 + 47169424 = 7337^2 + 6868^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000993 - 2² = 101000989 is a prime.

It is a super-3 number, since 3×101000993³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101000923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500496 + 50500497.

It is an arithmetic number, because the mean of its divisors is an integer number (50500497).

Almost surely, 2^101000993 is an apocalyptic number.

It is an amenable number.

101000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000993 is an equidigital number, since it uses as much as digits as its factorization.

101000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 23.

The square root of 101000993 is about 10049.9250245960. The cubic root of 101000993 is about 465.7024769834.

The spelling of 101000993 in words is "one hundred one million, nine hundred ninety-three", and thus it is an aban number.