110010101120 has 64 divisors (see below), whose sum is σ = 263680151040. Its totient is φ = 43889049600.

The previous prime is 110010101111. The next prime is 110010101161. The reversal of 110010101120 is 21101010011.

It is a happy number.

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 (8).

It is a junction number, because it is equal to n+sod(n) for n = 110010101098 and 110010101107.

It is a congruent number.

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, 20720 + ... + 469520.

It is an arithmetic number, because the mean of its divisors is an integer number (4120002360).

Almost surely, 2^110010101120 is an apocalyptic number.

110010101120 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 110010101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131840075520).

110010101120 is an abundant number, since it is smaller than the sum of its proper divisors (153670049920).

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

110010101120 is an equidigital number, since it uses as much as digits as its factorization.

110010101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449203 (or 449191 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110010101120 its reverse (21101010011), we get a palindrome (131111111131).

The spelling of 110010101120 in words is "one hundred ten billion, ten million, one hundred one thousand, one hundred twenty".