110100110010120 has 48 divisors (see below), whose sum is σ = 357825357534060. Its totient is φ = 29360029335936.

The previous prime is 110100110010119. The next prime is 110100110010169. The reversal of 110100110010120 is 21010011001011.

It can be written as a sum of positive squares in 2 ways, for example, as 109093471027524 + 1006638982596 = 10444782^2 + 1003314^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152916819099 + ... + 152916819818.

Almost surely, 2^{110100110010120} is an apocalyptic number.

110100110010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100110010120 is an abundant number, since it is smaller than the sum of its proper divisors (247725247523940).

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

110100110010120 is a wasteful number, since it uses less digits than its factorization.

110100110010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305833638934 (or 305833638927 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110100110010120 its reverse (21010011001011), we get a palindrome (131110121011131).

It can be divided in two parts, 110100 and 110010120, that added together give a triangular number (110120220 = T₁₄₈₄₀).

The spelling of 110100110010120 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, ten thousand, one hundred twenty".