110012220011100 has 288 divisors, whose sum is σ = 350761414832640. Its totient is φ = 26399185280000.

The previous prime is 110012220011047. The next prime is 110012220011149. The reversal of 110012220011100 is 1110022210011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1457483161 + ... + 1457558639.

It is an arithmetic number, because the mean of its divisors is an integer number (1217921579280).

Almost surely, 2^{110012220011100} is an apocalyptic number.

110012220011100 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 110012220011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175380707416320).

110012220011100 is an abundant number, since it is smaller than the sum of its proper divisors (240749194821540).

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

110012220011100 is a wasteful number, since it uses less digits than its factorization.

110012220011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79981 (or 79974 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110012220011100 its reverse (1110022210011), we get a palindrome (111122242221111).

The spelling of 110012220011100 in words is "one hundred ten trillion, twelve billion, two hundred twenty million, eleven thousand, one hundred".