1201012122001 has 2 divisors, whose sum is σ = 1201012122002. Its totient is φ = 1201012122000.

The previous prime is 1201012121989. The next prime is 1201012122007. The reversal of 1201012122001 is 1002212101021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1060387122001 + 140625000000 = 1029751^2 + 375000^2 .

It is a cyclic number.

It is not a de Polignac number, because 1201012122001 - 2¹⁹ = 1201011597713 is a prime.

It is not a weakly prime, because it can be changed into another prime (1201012122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600506061000 + 600506061001.

It is an arithmetic number, because the mean of its divisors is an integer number (600506061001).

Almost surely, 2^{1201012122001} is an apocalyptic number.

It is an amenable number.

1201012122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1201012122001 is an equidigital number, since it uses as much as digits as its factorization.

1201012122001 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 1201012122001 its reverse (1002212101021), we get a palindrome (2203224223022).

The spelling of 1201012122001 in words is "one trillion, two hundred one billion, twelve million, one hundred twenty-two thousand, one".