2012121121001 has 2 divisors, whose sum is σ = 2012121121002. Its totient is φ = 2012121121000.

The previous prime is 2012121120973. The next prime is 2012121121013. The reversal of 2012121121001 is 1001211212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1971920871001 + 40200250000 = 1404251^2 + 200500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2012121121001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2012121121081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006060560500 + 1006060560501.

It is an arithmetic number, because the mean of its divisors is an integer number (1006060560501).

Almost surely, 2^{2012121121001} is an apocalyptic number.

It is an amenable number.

2012121121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012121121001 is an equidigital number, since it uses as much as digits as its factorization.

2012121121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2012121121001 its reverse (1001211212102), we get a palindrome (3013332333103).

The spelling of 2012121121001 in words is "two trillion, twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, one".