101100011110993 has 2 divisors, whose sum is σ = 101100011110994. Its totient is φ = 101100011110992.

The previous prime is 101100011110991. The next prime is 101100011111003. The reversal of 101100011110993 is 399011110001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95458136791824 + 5641874319169 = 9770268^2 + 2375263^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100011110993 - 2¹ = 101100011110991 is a prime.

Together with 101100011110991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101100011110991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550005555496 + 50550005555497.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005555497).

Almost surely, 2^{101100011110993} is an apocalyptic number.

It is an amenable number.

101100011110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100011110993 is an equidigital number, since it uses as much as digits as its factorization.

101100011110993 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 28.

The spelling of 101100011110993 in words is "one hundred one trillion, one hundred billion, eleven million, one hundred ten thousand, nine hundred ninety-three".