110101012120 has 128 divisors (see below), whose sum is σ = 274907753280. Its totient is φ = 39680256000.

The previous prime is 110101012097. The next prime is 110101012127. The reversal of 110101012120 is 21210101011.

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 = 110101012097 and 110101012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101012127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6006970 + ... + 6025270.

Almost surely, 2^110101012120 is an apocalyptic number.

110101012120 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 110101012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137453876640).

110101012120 is an abundant number, since it is smaller than the sum of its proper divisors (164806741160).

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

110101012120 is a wasteful number, since it uses less digits than its factorization.

110101012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18458 (or 18432 counting only the distinct ones).

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

Adding to 110101012120 its reverse (21210101011), we get a palindrome (131311113131).

The spelling of 110101012120 in words is "one hundred ten billion, one hundred one million, twelve thousand, one hundred twenty".