11101101120111 has 32 divisors (see below), whose sum is σ = 15313356891648. Its totient is φ = 7147802793600.

The previous prime is 11101101120103. The next prime is 11101101120119. The reversal of 11101101120111 is 11102110110111.

It is an interprime number because it is at equal distance from previous prime (11101101120103) and next prime (11101101120119).

It is not a de Polignac number, because 11101101120111 - 2³ = 11101101120103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101101120119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22771660 + ... + 23254046.

It is an arithmetic number, because the mean of its divisors is an integer number (478542402864).

Almost surely, 2^{11101101120111} is an apocalyptic number.

11101101120111 is a deficient number, since it is larger than the sum of its proper divisors (4212255771537).

11101101120111 is a wasteful number, since it uses less digits than its factorization.

11101101120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483951.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11101101120111 its reverse (11102110110111), we get a palindrome (22203211230222).

It can be divided in two parts, 11101 and 101120111, that multiplied together give a palindrome (1122534352211).

The spelling of 11101101120111 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred twenty thousand, one hundred eleven".