111112101001120 has 24 divisors (see below), whose sum is σ = 262502338615524. Its totient is φ = 44444840400384.

The previous prime is 111112101001117. The next prime is 111112101001123. The reversal of 111112101001120 is 21100101211111.

It is an interprime number because it is at equal distance from previous prime (111112101001117) and next prime (111112101001123).

It can be written as a sum of positive squares in 2 ways, for example, as 109426746604176 + 1685354396944 = 10460724^2 + 1298212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 111112101001120.

It is not an unprimeable number, because it can be changed into a prime (111112101001123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 347225315469 + ... + 347225315788.

Almost surely, 2^{111112101001120} is an apocalyptic number.

111112101001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111112101001120 is an abundant number, since it is smaller than the sum of its proper divisors (151390237614404).

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

111112101001120 is an equidigital number, since it uses as much as digits as its factorization.

111112101001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694450631272 (or 694450631264 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111112101001120 its reverse (21100101211111), we get a palindrome (132212202212231).

The spelling of 111112101001120 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred one million, one thousand, one hundred twenty".