12001011211001 has 2 divisors, whose sum is σ = 12001011211002. Its totient is φ = 12001011211000.

The previous prime is 12001011210949. The next prime is 12001011211073. The reversal of 12001011211001 is 10011211010021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11993165503225 + 7845707776 = 3463115^2 + 88576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12001011211001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001011211081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000505605500 + 6000505605501.

It is an arithmetic number, because the mean of its divisors is an integer number (6000505605501).

Almost surely, 2^{12001011211001} is an apocalyptic number.

It is an amenable number.

12001011211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001011211001 is an equidigital number, since it uses as much as digits as its factorization.

12001011211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12001011211001 its reverse (10011211010021), we get a palindrome (22012222221022).

The spelling of 12001011211001 in words is "twelve trillion, one billion, eleven million, two hundred eleven thousand, one".