1013222211121 has 2 divisors, whose sum is σ = 1013222211122. Its totient is φ = 1013222211120.

The previous prime is 1013222211101. The next prime is 1013222211161. The reversal of 1013222211121 is 1211122223101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 658798448896 + 354423762225 = 811664^2 + 595335^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013222211121 - 2¹⁷ = 1013222080049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013222211101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506611105560 + 506611105561.

It is an arithmetic number, because the mean of its divisors is an integer number (506611105561).

Almost surely, 2^{1013222211121} is an apocalyptic number.

It is an amenable number.

1013222211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013222211121 is an equidigital number, since it uses as much as digits as its factorization.

1013222211121 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 19.

Adding to 1013222211121 its reverse (1211122223101), we get a palindrome (2224344434222).

The spelling of 1013222211121 in words is "one trillion, thirteen billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".