1121123211101 has 2 divisors, whose sum is σ = 1121123211102. Its totient is φ = 1121123211100.

The previous prime is 1121123211079. The next prime is 1121123211139. The reversal of 1121123211101 is 1011123211211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 978031992025 + 143091219076 = 988955^2 + 378274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1121123211101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1121123211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1121123211151) 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, 560561605550 + 560561605551.

It is an arithmetic number, because the mean of its divisors is an integer number (560561605551).

Almost surely, 2^{1121123211101} is an apocalyptic number.

It is an amenable number.

1121123211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121123211101 is an equidigital number, since it uses as much as digits as its factorization.

1121123211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1121123211101 its reverse (1011123211211), we get a palindrome (2132246422312).

The spelling of 1121123211101 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-three million, two hundred eleven thousand, one hundred one".