111011110111121 has 8 divisors (see below), whose sum is σ = 122103880694688. Its totient is φ = 100919191008900.

The previous prime is 111011110111061. The next prime is 111011110111127. The reversal of 111011110111121 is 121111011110111.

It is not a de Polignac number, because 111011110111121 - 2²² = 111011105916817 is a prime.

It is a super-2 number, since 2×111011110111121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111011110111096 and 111011110111105.

It is not an unprimeable number, because it can be changed into a prime (111011110111127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41702143715 + ... + 41702146376.

It is an arithmetic number, because the mean of its divisors is an integer number (15262985086836).

Almost surely, 2^{111011110111121} is an apocalyptic number.

111011110111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111011110111121 is a deficient number, since it is larger than the sum of its proper divisors (11092770583567).

111011110111121 is an frugal number, since it uses more digits than its factorization.

111011110111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83404290124 (or 83404290102 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 14.

Adding to 111011110111121 its reverse (121111011110111), we get a palindrome (232122121221232).

It can be divided in two parts, 111011110111 and 121, that multiplied together give a palindrome (13432344323431).

The spelling of 111011110111121 in words is "one hundred eleven trillion, eleven billion, one hundred ten million, one hundred eleven thousand, one hundred twenty-one".