111112111001000 has 128 divisors (see below), whose sum is σ = 260334950952960. Its totient is φ = 44388006208000.

The previous prime is 111112111000927. The next prime is 111112111001027. The reversal of 111112111001000 is 100111211111.

It is a happy number.

It is a super-2 number, since 2×111112111001000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9531787172 + ... + 9531798828.

It is an arithmetic number, because the mean of its divisors is an integer number (2033866804320).

Almost surely, 2^{111112111001000} is an apocalyptic number.

111112111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111112111001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130167475476480).

111112111001000 is an abundant number, since it is smaller than the sum of its proper divisors (149222839951960).

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

111112111001000 is a wasteful number, since it uses less digits than its factorization.

111112111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23052 (or 23038 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111112111001000 its reverse (100111211111), we get a palindrome (111212222212111).

The spelling of 111112111001000 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred eleven million, one thousand".