111121101112110 has 128 divisors (see below), whose sum is σ = 280321660776960. Its totient is φ = 28155554090496.

The previous prime is 111121101112037. The next prime is 111121101112159. The reversal of 111121101112110 is 11211101121111.

It is a happy number.

It is a super-2 number, since 2×111121101112110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111121101112110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253179309 + ... + 253617831.

It is an arithmetic number, because the mean of its divisors is an integer number (2190012974820).

Almost surely, 2^{111121101112110} is an apocalyptic number.

111121101112110 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 111121101112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140160830388480).

111121101112110 is an abundant number, since it is smaller than the sum of its proper divisors (169200559664850).

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

111121101112110 is a wasteful number, since it uses less digits than its factorization.

111121101112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443922.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 111121101112110 its reverse (11211101121111), we get a palindrome (122332202233221).

Subtracting from 111121101112110 its reverse (11211101121111), we obtain a palindrome (99909999990999).

The spelling of 111121101112110 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred ten".