1110110101120 has 64 divisors (see below), whose sum is σ = 2680132928040. Its totient is φ = 439647539200.

The previous prime is 1110110101069. The next prime is 1110110101141. The reversal of 1110110101120 is 211010110111.

It can be written as a sum of positive squares in 4 ways, for example, as 944799552064 + 165310549056 = 972008^2 + 406584^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 = 1110110101097 and 1110110101106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8522227 + ... + 8651506.

Almost surely, 2^{1110110101120} is an apocalyptic number.

1110110101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110110101120 is an abundant number, since it is smaller than the sum of its proper divisors (1570022826920).

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

1110110101120 is a wasteful number, since it uses less digits than its factorization.

1110110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17173853 (or 17173841 counting only the distinct ones).

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

Adding to 1110110101120 its reverse (211010110111), we get a palindrome (1321120211231).

The spelling of 1110110101120 in words is "one trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one hundred twenty".