110122001012100 has 288 divisors, whose sum is σ = 402268453171200. Its totient is φ = 22592841523200.

The previous prime is 110122001012081. The next prime is 110122001012117. The reversal of 110122001012100 is 1210100221011.

110122001012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28347165 + ... + 31996964.

It is an arithmetic number, because the mean of its divisors is an integer number (1396765462400).

Almost surely, 2^{110122001012100} is an apocalyptic number.

110122001012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122001012100 is an abundant number, since it is smaller than the sum of its proper divisors (292146452159100).

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

110122001012100 is a wasteful number, since it uses less digits than its factorization.

110122001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60344243 (or 60344236 counting only the distinct ones).

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

Adding to 110122001012100 its reverse (1210100221011), we get a palindrome (111332101233111).

The spelling of 110122001012100 in words is "one hundred ten trillion, one hundred twenty-two billion, one million, twelve thousand, one hundred".