101011106005793 has 2 divisors, whose sum is σ = 101011106005794. Its totient is φ = 101011106005792.

The previous prime is 101011106005741. The next prime is 101011106005837. The reversal of 101011106005793 is 397500601110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93977959573729 + 7033146432064 = 9694223^2 + 2652008^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011106005793 - 2⁴⁰ = 99911594378017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011106007793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505553002896 + 50505553002897.

It is an arithmetic number, because the mean of its divisors is an integer number (50505553002897).

Almost surely, 2^{101011106005793} is an apocalyptic number.

It is an amenable number.

101011106005793 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011106005793 is an equidigital number, since it uses as much as digits as its factorization.

101011106005793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 35.

Adding to 101011106005793 its reverse (397500601110101), we get a palindrome (498511707115894).

The spelling of 101011106005793 in words is "one hundred one trillion, eleven billion, one hundred six million, five thousand, seven hundred ninety-three".