12200112101101 has 8 divisors (see below), whose sum is σ = 12203453998008. Its totient is φ = 12196770432000.

The previous prime is 12200112101071. The next prime is 12200112101113. The reversal of 12200112101101 is 10110121100221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6172591180900 + 6027520920201 = 2484470^2 + 2455101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12200112101101 - 2⁵ = 12200112101069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200112101201) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 184200171 + ... + 184266391.

It is an arithmetic number, because the mean of its divisors is an integer number (1525431749751).

Almost surely, 2^{12200112101101} is an apocalyptic number.

It is an amenable number.

12200112101101 is a deficient number, since it is larger than the sum of its proper divisors (3341896907).

12200112101101 is an equidigital number, since it uses as much as digits as its factorization.

12200112101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113903.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12200112101101 its reverse (10110121100221), we get a palindrome (22310233201322).

The spelling of 12200112101101 in words is "twelve trillion, two hundred billion, one hundred twelve million, one hundred one thousand, one hundred one".