1020223021121 has 2 divisors, whose sum is σ = 1020223021122. Its totient is φ = 1020223021120.

The previous prime is 1020223021109. The next prime is 1020223021163. The reversal of 1020223021121 is 1211203220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999870004225 + 20353016896 = 999935^2 + 142664^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020223021121 - 2²² = 1020218826817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020223021121.

It is not a weakly prime, because it can be changed into another prime (1020223021171) 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, 510111510560 + 510111510561.

It is an arithmetic number, because the mean of its divisors is an integer number (510111510561).

Almost surely, 2^{1020223021121} is an apocalyptic number.

It is an amenable number.

1020223021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020223021121 is an equidigital number, since it uses as much as digits as its factorization.

1020223021121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1020223021121 its reverse (1211203220201), we get a palindrome (2231426241322).

The spelling of 1020223021121 in words is "one trillion, twenty billion, two hundred twenty-three million, twenty-one thousand, one hundred twenty-one".