12200120120101 has 8 divisors (see below), whose sum is σ = 12239225227800. Its totient is φ = 12161058201600.

The previous prime is 12200120120063. The next prime is 12200120120119. The reversal of 12200120120101 is 10102102100221.

It can be written as a sum of positive squares in 4 ways, for example, as 1733504023876 + 10466616096225 = 1316626^2 + 3235215^2 .

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 12200120120101 - 2⁷ = 12200120119973 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 (12200120120131) 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, 10231386 + ... + 11361403.

It is an arithmetic number, because the mean of its divisors is an integer number (1529903153475).

Almost surely, 2^{12200120120101} is an apocalyptic number.

It is an amenable number.

12200120120101 is a deficient number, since it is larger than the sum of its proper divisors (39105107699).

12200120120101 is a wasteful number, since it uses less digits than its factorization.

12200120120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21594599.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12200120120101 its reverse (10102102100221), we get a palindrome (22302222220322).

The spelling of 12200120120101 in words is "twelve trillion, two hundred billion, one hundred twenty million, one hundred twenty thousand, one hundred one".