111111111201100 has 72 divisors (see below), whose sum is σ = 245201525941680. Its totient is φ = 43690474264320.

The previous prime is 111111111201089. The next prime is 111111111201119. The reversal of 111111111201100 is 1102111111111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574545622 + ... + 574738978.

It is an arithmetic number, because the mean of its divisors is an integer number (3405576749190).

Almost surely, 2^{111111111201100} is an apocalyptic number.

111111111201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111111201100 is an abundant number, since it is smaller than the sum of its proper divisors (134090414740580).

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

111111111201100 is a wasteful number, since it uses less digits than its factorization.

111111111201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290827 (or 290820 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 111111111201100 its reverse (1102111111111), we get a palindrome (112213222312211).

The spelling of 111111111201100 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, two hundred one thousand, one hundred".