1020222001121 has 2 divisors, whose sum is σ = 1020222001122. Its totient is φ = 1020222001120.

The previous prime is 1020222001103. The next prime is 1020222001229. The reversal of 1020222001121 is 1211002220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 561840193600 + 458381807521 = 749560^2 + 677039^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020222001121 - 2²⁶ = 1020154892257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020222001096 and 1020222001105.

It is not a weakly prime, because it can be changed into another prime (1020222001621) 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, 510111000560 + 510111000561.

It is an arithmetic number, because the mean of its divisors is an integer number (510111000561).

Almost surely, 2^{1020222001121} is an apocalyptic number.

It is an amenable number.

1020222001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020222001121 is an equidigital number, since it uses as much as digits as its factorization.

1020222001121 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 1020222001121 its reverse (1211002220201), we get a palindrome (2231224221322).

The spelling of 1020222001121 in words is "one trillion, twenty billion, two hundred twenty-two million, one thousand, one hundred twenty-one".