1121111112001 has 2 divisors, whose sum is σ = 1121111112002. Its totient is φ = 1121111112000.

The previous prime is 1121111111971. The next prime is 1121111112013. The reversal of 1121111112001 is 1002111111211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1041316161601 + 79794950400 = 1020449^2 + 282480^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121111112001 - 2⁷ = 1121111111873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1121111112071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560555556000 + 560555556001.

It is an arithmetic number, because the mean of its divisors is an integer number (560555556001).

Almost surely, 2^{1121111112001} is an apocalyptic number.

It is an amenable number.

1121111112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121111112001 is an equidigital number, since it uses as much as digits as its factorization.

1121111112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1121111112001 its reverse (1002111111211), we get a palindrome (2123222223212).

The spelling of 1121111112001 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, one".