11100111113009 has 2 divisors, whose sum is σ = 11100111113010. Its totient is φ = 11100111113008.

The previous prime is 11100111112801. The next prime is 11100111113057. The reversal of 11100111113009 is 90031111100111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9940242424225 + 1159868688784 = 3152815^2 + 1076972^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100111113009 - 2²⁴ = 11100094335793 is a prime.

It is a super-3 number, since 3×11100111113009³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (11100111013009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550055556504 + 5550055556505.

It is an arithmetic number, because the mean of its divisors is an integer number (5550055556505).

Almost surely, 2^{11100111113009} is an apocalyptic number.

It is an amenable number.

11100111113009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100111113009 is an equidigital number, since it uses as much as digits as its factorization.

11100111113009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 20.

The spelling of 11100111113009 in words is "eleven trillion, one hundred billion, one hundred eleven million, one hundred thirteen thousand, nine".