101101010993 has 2 divisors, whose sum is σ = 101101010994. Its totient is φ = 101101010992.

The previous prime is 101101010951. The next prime is 101101011073. The reversal of 101101010993 is 399010101101.

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., 75431523904 + 25669487089 = 274648^2 + 160217^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101010993 - 2⁶ = 101101010929 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101010293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550505496 + 50550505497.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505497).

Almost surely, 2^101101010993 is an apocalyptic number.

It is an amenable number.

101101010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101010993 is an equidigital number, since it uses as much as digits as its factorization.

101101010993 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 26.

The spelling of 101101010993 in words is "one hundred one billion, one hundred one million, ten thousand, nine hundred ninety-three".