11100006872077 has 2 divisors, whose sum is σ = 11100006872078. Its totient is φ = 11100006872076.

The previous prime is 11100006871999. The next prime is 11100006872177. The reversal of 11100006872077 is 77027860000111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7154881369321 + 3945125502756 = 2674861^2 + 1986234^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11100006872077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11100006872177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550003436038 + 5550003436039.

It is an arithmetic number, because the mean of its divisors is an integer number (5550003436039).

Almost surely, 2^{11100006872077} is an apocalyptic number.

It is an amenable number.

11100006872077 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100006872077 is an equidigital number, since it uses as much as digits as its factorization.

11100006872077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32928, while the sum is 40.

Adding to 11100006872077 its reverse (77027860000111), we get a palindrome (88127866872188).

The spelling of 11100006872077 in words is "eleven trillion, one hundred billion, six million, eight hundred seventy-two thousand, seventy-seven".