111101110021110 has 384 divisors, whose sum is σ = 297701678776320. Its totient is φ = 26513385212160.

The previous prime is 111101110021093. The next prime is 111101110021129. The reversal of 111101110021110 is 11120011101111.

111101110021110 is digitally balanced in base 13, because in such base it contains all the possibile digits an equal number of times.

111101110021110 is strictly pandigital in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78075269859 + ... + 78075271281.

It is an arithmetic number, because the mean of its divisors is an integer number (775264788480).

Almost surely, 2^{111101110021110} is an apocalyptic number.

111101110021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111101110021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148850839388160).

111101110021110 is an abundant number, since it is smaller than the sum of its proper divisors (186600568755210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111101110021110 is a wasteful number, since it uses less digits than its factorization.

111101110021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2773 counting only the distinct ones).

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

Adding to 111101110021110 its reverse (11120011101111), we get a palindrome (122221121122221).

It can be divided in two parts, 1111011 and 10021110, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 111101110021110 in words is "one hundred eleven trillion, one hundred one billion, one hundred ten million, twenty-one thousand, one hundred ten".