1020122000201 has 2 divisors, whose sum is σ = 1020122000202. Its totient is φ = 1020122000200.

The previous prime is 1020122000111. The next prime is 1020122000263. The reversal of 1020122000201 is 1020002210201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 978667004176 + 41454996025 = 989276^2 + 203605^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020122000201 - 2³⁴ = 1002942131017 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020122000291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510061000100 + 510061000101.

It is an arithmetic number, because the mean of its divisors is an integer number (510061000101).

Almost surely, 2^{1020122000201} is an apocalyptic number.

It is an amenable number.

1020122000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020122000201 is an equidigital number, since it uses as much as digits as its factorization.

1020122000201 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 11.

Adding to 1020122000201 its reverse (1020002210201), we get a palindrome (2040124210402).

The spelling of 1020122000201 in words is "one trillion, twenty billion, one hundred twenty-two million, two hundred one", and thus it is an aban number.