1020222121013 has 2 divisors, whose sum is σ = 1020222121014. Its totient is φ = 1020222121012.

The previous prime is 1020222121003. The next prime is 1020222121151. The reversal of 1020222121013 is 3101212220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 930379851844 + 89842269169 = 964562^2 + 299737^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020222121013 - 2³⁰ = 1019148379189 is a prime.

It is a super-2 number, since 2×1020222121013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020222120982 and 1020222121000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020222121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510111060506 + 510111060507.

It is an arithmetic number, because the mean of its divisors is an integer number (510111060507).

Almost surely, 2^{1020222121013} is an apocalyptic number.

It is an amenable number.

1020222121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020222121013 is an equidigital number, since it uses as much as digits as its factorization.

1020222121013 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 1020222121013 its reverse (3101212220201), we get a palindrome (4121434341214).

The spelling of 1020222121013 in words is "one trillion, twenty billion, two hundred twenty-two million, one hundred twenty-one thousand, thirteen".