111110000201120 has 96 divisors (see below), whose sum is σ = 271627780914000. Its totient is φ = 42899000467456.

The previous prime is 111110000201099. The next prime is 111110000201159. The reversal of 111110000201120 is 21102000011111.

It can be written as a sum of positive squares in 8 ways, for example, as 3724946320144 + 107385053880976 = 1930012^2 + 10362676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12531902 + ... + 19474818.

Almost surely, 2^{111110000201120} is an apocalyptic number.

111110000201120 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 111110000201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135813890457000).

111110000201120 is an abundant number, since it is smaller than the sum of its proper divisors (160517780712880).

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

111110000201120 is a wasteful number, since it uses less digits than its factorization.

111110000201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946410 (or 6946402 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111110000201120 its reverse (21102000011111), we get a palindrome (132212000212231).

The spelling of 111110000201120 in words is "one hundred eleven trillion, one hundred ten billion, two hundred one thousand, one hundred twenty".