110000100012 has 192 divisors, whose sum is σ = 315870105600. Its totient is φ = 29389029120.

The previous prime is 110000099999. The next prime is 110000100019. The reversal of 110000100012 is 210001000011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (110000100019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2108539 + ... + 2160077.

It is an arithmetic number, because the mean of its divisors is an integer number (1645156800).

Almost surely, 2^110000100012 is an apocalyptic number.

110000100012 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 110000100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157935052800).

110000100012 is an abundant number, since it is smaller than the sum of its proper divisors (205870005588).

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

110000100012 is a wasteful number, since it uses less digits than its factorization.

110000100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51636 (or 51634 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110000100012 its reverse (210001000011), we get a palindrome (320001100023).

It can be divided in two parts, 110000 and 100012, that added together give a palindrome (210012).

The spelling of 110000100012 in words is "one hundred ten billion, one hundred thousand, twelve".