101110993 has 2 divisors, whose sum is σ = 101110994. Its totient is φ = 101110992.

The previous prime is 101110987. The next prime is 101111011. The reversal of 101110993 is 399011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52012944 + 49098049 = 7212^2 + 7007^2 .

It is an emirp because it is prime and its reverse (399011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110993 - 2⁹ = 101110481 is a prime.

It is not a weakly prime, because it can be changed into another prime (101410993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555496 + 50555497.

It is an arithmetic number, because the mean of its divisors is an integer number (50555497).

Almost surely, 2^101110993 is an apocalyptic number.

It is an amenable number.

101110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110993 is an equidigital number, since it uses as much as digits as its factorization.

101110993 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 25.

The square root of 101110993 is about 10055.3962129794. The cubic root of 101110993 is about 465.8714808880.

The spelling of 101110993 in words is "one hundred one million, one hundred ten thousand, nine hundred ninety-three".