12100001101201 has 16 divisors (see below), whose sum is σ = 13161335216400. Its totient is φ = 11057345107200.

The previous prime is 12100001101189. The next prime is 12100001101247. The reversal of 12100001101201 is 10210110000121.

It can be written as a sum of positive squares in 8 ways, for example, as 282254188176 + 11817746913025 = 531276^2 + 3437695^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100001101201 - 2⁹ = 12100001100689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100001101291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10718875 + ... + 11793823.

It is an arithmetic number, because the mean of its divisors is an integer number (822583451025).

Almost surely, 2^{12100001101201} is an apocalyptic number.

It is an amenable number.

12100001101201 is a deficient number, since it is larger than the sum of its proper divisors (1061334115199).

12100001101201 is a wasteful number, since it uses less digits than its factorization.

12100001101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083636.

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

Adding to 12100001101201 its reverse (10210110000121), we get a palindrome (22310111101322).

The spelling of 12100001101201 in words is "twelve trillion, one hundred billion, one million, one hundred one thousand, two hundred one".