10110110110120 has 16 divisors (see below), whose sum is σ = 22747747747860. Its totient is φ = 4044044044032.

The previous prime is 10110110110117. The next prime is 10110110110127. The reversal of 10110110110120 is 2101101101101.

It can be written as a sum of positive squares in 2 ways, for example, as 9887490335844 + 222619774276 = 3144438^2 + 471826^2 .

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 = 10110110110097 and 10110110110106.

It is not an unprimeable number, because it can be changed into a prime (10110110110127) by changing a digit.

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, 126376376337 + ... + 126376376416.

Almost surely, 2^{10110110110120} is an apocalyptic number.

10110110110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110110110120 is an abundant number, since it is smaller than the sum of its proper divisors (12637637637740).

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

10110110110120 is a wasteful number, since it uses less digits than its factorization.

10110110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252752752764 (or 252752752760 counting only the distinct ones).

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

Adding to 10110110110120 its reverse (2101101101101), we get a palindrome (12211211211221).

The spelling of 10110110110120 in words is "ten trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, one hundred twenty".