2012122021001 has 2 divisors, whose sum is σ = 2012122021002. Its totient is φ = 2012122021000.

The previous prime is 2012122020919. The next prime is 2012122021009. The reversal of 2012122021001 is 1001202212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1123862895376 + 888259125625 = 1060124^2 + 942475^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2012122021001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012122021009) 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, 1006061010500 + 1006061010501.

It is an arithmetic number, because the mean of its divisors is an integer number (1006061010501).

Almost surely, 2^{2012122021001} is an apocalyptic number.

It is an amenable number.

2012122021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012122021001 is an equidigital number, since it uses as much as digits as its factorization.

2012122021001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2012122021001 its reverse (1001202212102), we get a palindrome (3013324233103).

The spelling of 2012122021001 in words is "two trillion, twelve billion, one hundred twenty-two million, twenty-one thousand, one".