110021100122112 has 104 divisors (see below), whose sum is σ = 293364034318704. Its totient is φ = 36672418873344.

The previous prime is 110021100122111. The next prime is 110021100122173. The reversal of 110021100122112 is 211221001120011.

It is a happy number.

110021100122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110021100122112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110021100122091 and 110021100122100.

It is not an unprimeable number, because it can be changed into a prime (110021100122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391514968 + ... + 391795880.

Almost surely, 2^{110021100122112} is an apocalyptic number.

110021100122112 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 110021100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146682017159352).

110021100122112 is an abundant number, since it is smaller than the sum of its proper divisors (183342934196592).

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

110021100122112 is an equidigital number, since it uses as much as digits as its factorization.

110021100122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312813 (or 312791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110021100122112 its reverse (211221001120011), we get a palindrome (321242101242123).

The spelling of 110021100122112 in words is "one hundred ten trillion, twenty-one billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".