101100106055077 has 2 divisors, whose sum is σ = 101100106055078. Its totient is φ = 101100106055076.

The previous prime is 101100106055033. The next prime is 101100106055093. The reversal of 101100106055077 is 770550601001101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67194186206436 + 33905919848641 = 8197206^2 + 5822879^2 .

It is an emirp because it is prime and its reverse (770550601001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100106055077 - 2³⁹ = 100550350241189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100106055027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550053027538 + 50550053027539.

It is an arithmetic number, because the mean of its divisors is an integer number (50550053027539).

Almost surely, 2^{101100106055077} is an apocalyptic number.

It is an amenable number.

101100106055077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100106055077 is an equidigital number, since it uses as much as digits as its factorization.

101100106055077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7350, while the sum is 34.

Adding to 101100106055077 its reverse (770550601001101), we get a palindrome (871650707056178).

The spelling of 101100106055077 in words is "one hundred one trillion, one hundred billion, one hundred six million, fifty-five thousand, seventy-seven".