110011011012 has 144 divisors (see below), whose sum is σ = 319897468800. Its totient is φ = 31225858560.

The previous prime is 110011011007. The next prime is 110011011043. The reversal of 110011011012 is 210110110011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110011010985 and 110011011003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30064039 + ... + 30067697.

It is an arithmetic number, because the mean of its divisors is an integer number (2221510200).

Almost surely, 2^110011011012 is an apocalyptic number.

110011011012 is a gapful number since it is divisible by the number (12) 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 110011011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159948734400).

110011011012 is an abundant number, since it is smaller than the sum of its proper divisors (209886457788).

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

110011011012 is a wasteful number, since it uses less digits than its factorization.

110011011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4421 counting only the distinct ones).

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

Adding to 110011011012 its reverse (210110110011), we get a palindrome (320121121023).

The spelling of 110011011012 in words is "one hundred ten billion, eleven million, eleven thousand, twelve".