12121111012201 has 6 divisors (see below), whose sum is σ = 12384494141930. Its totient is φ = 11863215031056.

The previous prime is 12121111012177. The next prime is 12121111012247. The reversal of 12121111012201 is 10221011112121.

It can be written as a sum of positive squares in only one way, i.e., 12069363861801 + 51747150400 = 3474099^2 + 227480^2 .

It is not a de Polignac number, because 12121111012201 - 2⁵ = 12121111012169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12121111015201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2743572036 + ... + 2743576453.

Almost surely, 2^{12121111012201} is an apocalyptic number.

It is an amenable number.

12121111012201 is a deficient number, since it is larger than the sum of its proper divisors (263383129729).

12121111012201 is an frugal number, since it uses more digits than its factorization.

12121111012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487148583 (or 5487148536 counting only the distinct ones).

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

Adding to 12121111012201 its reverse (10221011112121), we get a palindrome (22342122124322).

The spelling of 12121111012201 in words is "twelve trillion, one hundred twenty-one billion, one hundred eleven million, twelve thousand, two hundred one".