111120101022100 has 18 divisors (see below), whose sum is σ = 241130619218174. Its totient is φ = 44448040408800.

The previous prime is 111120101022089. The next prime is 111120101022149. The reversal of 111120101022100 is 1220101021111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 455676301444 + 110664424720656 = 675038^2 + 10519716^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 555600505011 + ... + 555600505210.

Almost surely, 2^{111120101022100} is an apocalyptic number.

111120101022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111120101022100 is an abundant number, since it is smaller than the sum of its proper divisors (130010518196074).

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

111120101022100 is a wasteful number, since it uses less digits than its factorization.

111120101022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111201010235 (or 1111201010228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111120101022100 its reverse (1220101021111), we get a palindrome (112340202043211).

The spelling of 111120101022100 in words is "one hundred eleven trillion, one hundred twenty billion, one hundred one million, twenty-two thousand, one hundred".