11100918472577 has 2 divisors, whose sum is σ = 11100918472578. Its totient is φ = 11100918472576.

The previous prime is 11100918472537. The next prime is 11100918472751. The reversal of 11100918472577 is 77527481900111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9094301736976 + 2006616735601 = 3015676^2 + 1416551^2 .

It is an emirp because it is prime and its reverse (77527481900111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11100918472577 - 2²⁰ = 11100917424001 is a prime.

It is a super-3 number, since 3×11100918472577³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11100918472507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550459236288 + 5550459236289.

It is an arithmetic number, because the mean of its divisors is an integer number (5550459236289).

Almost surely, 2^{11100918472577} is an apocalyptic number.

It is an amenable number.

11100918472577 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100918472577 is an equidigital number, since it uses as much as digits as its factorization.

11100918472577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 53.

The spelling of 11100918472577 in words is "eleven trillion, one hundred billion, nine hundred eighteen million, four hundred seventy-two thousand, five hundred seventy-seven".