1100112102111 has 32 divisors (see below), whose sum is σ = 1615229763840. Its totient is φ = 660459744000.

The previous prime is 1100112102091. The next prime is 1100112102143. The reversal of 1100112102111 is 1112012110011.

It is not a de Polignac number, because 1100112102111 - 2¹¹ = 1100112100063 is a prime.

It is a super-2 number, since 2×1100112102111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100112102161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15975891 + ... + 16044603.

It is an arithmetic number, because the mean of its divisors is an integer number (50475930120).

Almost surely, 2^{1100112102111} is an apocalyptic number.

1100112102111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100112102111 is a deficient number, since it is larger than the sum of its proper divisors (515117661729).

1100112102111 is a wasteful number, since it uses less digits than its factorization.

1100112102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73287.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1100112102111 its reverse (1112012110011), we get a palindrome (2212124212122).

It can be divided in two parts, 110011 and 2102111, that added together give a palindrome (2212122).

The spelling of 1100112102111 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred two thousand, one hundred eleven".