1220111011121 has 2 divisors, whose sum is σ = 1220111011122. Its totient is φ = 1220111011120.

The previous prime is 1220111011051. The next prime is 1220111011127. The reversal of 1220111011121 is 1211101110221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753397960225 + 466713050896 = 867985^2 + 683164^2 .

It is a cyclic number.

It is not a de Polignac number, because 1220111011121 - 2³⁸ = 945233104177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220111011096 and 1220111011105.

It is not a weakly prime, because it can be changed into another prime (1220111011127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610055505560 + 610055505561.

It is an arithmetic number, because the mean of its divisors is an integer number (610055505561).

Almost surely, 2^{1220111011121} is an apocalyptic number.

It is an amenable number.

1220111011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1220111011121 is an equidigital number, since it uses as much as digits as its factorization.

1220111011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1220111011121 its reverse (1211101110221), we get a palindrome (2431212121342).

The spelling of 1220111011121 in words is "one trillion, two hundred twenty billion, one hundred eleven million, eleven thousand, one hundred twenty-one".