1100112201121 has 2 divisors, whose sum is σ = 1100112201122. Its totient is φ = 1100112201120.

The previous prime is 1100112201109. The next prime is 1100112201131. The reversal of 1100112201121 is 1211022110011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 949525518096 + 150586683025 = 974436^2 + 388055^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100112201121 - 2⁹ = 1100112200609 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100112201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550056100560 + 550056100561.

It is an arithmetic number, because the mean of its divisors is an integer number (550056100561).

Almost surely, 2^{1100112201121} is an apocalyptic number.

It is an amenable number.

1100112201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100112201121 is an equidigital number, since it uses as much as digits as its factorization.

1100112201121 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 13.

Adding to 1100112201121 its reverse (1211022110011), we get a palindrome (2311134311132).

It can be divided in two parts, 110011 and 2201121, that added together give a palindrome (2311132).

The spelling of 1100112201121 in words is "one trillion, one hundred billion, one hundred twelve million, two hundred one thousand, one hundred twenty-one".