1101110110120 has 16 divisors (see below), whose sum is σ = 2477497747860. Its totient is φ = 440444044032.

The previous prime is 1101110110073. The next prime is 1101110110153. The reversal of 1101110110120 is 210110111011.

It can be written as a sum of positive squares in 2 ways, for example, as 943194477124 + 157915632996 = 971182^2 + 397386^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1101110110097 and 1101110110106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13763876337 + ... + 13763876416.

Almost surely, 2^{1101110110120} is an apocalyptic number.

1101110110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101110110120 is an abundant number, since it is smaller than the sum of its proper divisors (1376387637740).

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

1101110110120 is a wasteful number, since it uses less digits than its factorization.

1101110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27527752764 (or 27527752760 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1101110110120 its reverse (210110111011), we get a palindrome (1311220221131).

The spelling of 1101110110120 in words is "one trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, one hundred twenty".