110010121120 has 96 divisors (see below), whose sum is σ = 265181844816. Its totient is φ = 43118592000.

The previous prime is 110010121099. The next prime is 110010121159. The reversal of 110010121120 is 21121010011.

It can be written as a sum of positive squares in 8 ways, for example, as 72419115664 + 37591005456 = 269108^2 + 193884^2 .

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 = 110010121097 and 110010121106.

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 15 ways as a sum of consecutive naturals, for example, 1532430 + ... + 1602610.

Almost surely, 2^110010121120 is an apocalyptic number.

110010121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132590922408).

110010121120 is an abundant number, since it is smaller than the sum of its proper divisors (155171723696).

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

110010121120 is a wasteful number, since it uses less digits than its factorization.

110010121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70394 (or 70386 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110010121120 its reverse (21121010011), we get a palindrome (131131131131).

The spelling of 110010121120 in words is "one hundred ten billion, ten million, one hundred twenty-one thousand, one hundred twenty".