12001122002101 has 2 divisors, whose sum is σ = 12001122002102. Its totient is φ = 12001122002100.

The previous prime is 12001122002081. The next prime is 12001122002161. The reversal of 12001122002101 is 10120022110021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6941254159876 + 5059867842225 = 2634626^2 + 2249415^2 .

It is an emirp because it is prime and its reverse (10120022110021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12001122002101 - 2⁵ = 12001122002069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001122002161) 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 as a sum of consecutive naturals, namely, 6000561001050 + 6000561001051.

It is an arithmetic number, because the mean of its divisors is an integer number (6000561001051).

Almost surely, 2^{12001122002101} is an apocalyptic number.

It is an amenable number.

12001122002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001122002101 is an equidigital number, since it uses as much as digits as its factorization.

12001122002101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12001122002101 its reverse (10120022110021), we get a palindrome (22121144112122).

The spelling of 12001122002101 in words is "twelve trillion, one billion, one hundred twenty-two million, two thousand, one hundred one".