12200011001101 has 24 divisors (see below), whose sum is σ = 15981437617920. Its totient is φ = 9199840708800.

The previous prime is 12200011001069. The next prime is 12200011001117. The reversal of 12200011001101 is 10110011000221.

It is not a de Polignac number, because 12200011001101 - 2⁵ = 12200011001069 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 (12200011001501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 365056336 + ... + 365089753.

It is an arithmetic number, because the mean of its divisors is an integer number (665893234080).

Almost surely, 2^{12200011001101} is an apocalyptic number.

12200011001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200011001101 is a deficient number, since it is larger than the sum of its proper divisors (3781426616819).

12200011001101 is a wasteful number, since it uses less digits than its factorization.

12200011001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730146145 (or 730146138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12200011001101 its reverse (10110011000221), we get a palindrome (22310022001322).

The spelling of 12200011001101 in words is "twelve trillion, two hundred billion, eleven million, one thousand, one hundred one".