111101122220011 has 16 divisors (see below), whose sum is σ = 138518504985600. Its totient is φ = 86570540441280.

The previous prime is 111101122220003. The next prime is 111101122220041. The reversal of 111101122220011 is 110022221101111.

It is not a de Polignac number, because 111101122220011 - 2³ = 111101122220003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111101122220041) 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 in 15 ways as a sum of consecutive naturals, for example, 10875306 + ... + 18451951.

It is an arithmetic number, because the mean of its divisors is an integer number (8657406561600).

Almost surely, 2^{111101122220011} is an apocalyptic number.

111101122220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111101122220011 is a deficient number, since it is larger than the sum of its proper divisors (27417382765589).

111101122220011 is a wasteful number, since it uses less digits than its factorization.

111101122220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29376474.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 111101122220011 its reverse (110022221101111), we get a palindrome (221123343321122).

The spelling of 111101122220011 in words is "one hundred eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, eleven".