12100012201201 has 8 divisors (see below), whose sum is σ = 12104349281640. Its totient is φ = 12095675413248.

The previous prime is 12100012201163. The next prime is 12100012201261. The reversal of 12100012201201 is 10210221000121.

It can be written as a sum of positive squares in 4 ways, for example, as 7700292003600 + 4399720197601 = 2774940^2 + 2097551^2 .

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 12100012201201 - 2¹⁹ = 12100011676913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100012201261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113415855 + ... + 113522491.

It is an arithmetic number, because the mean of its divisors is an integer number (1513043660205).

Almost surely, 2^{12100012201201} is an apocalyptic number.

It is an amenable number.

12100012201201 is a deficient number, since it is larger than the sum of its proper divisors (4337080439).

12100012201201 is a wasteful number, since it uses less digits than its factorization.

12100012201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146243.

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

Adding to 12100012201201 its reverse (10210221000121), we get a palindrome (22310233201322).

The spelling of 12100012201201 in words is "twelve trillion, one hundred billion, twelve million, two hundred one thousand, two hundred one".