1100111212121 has 2 divisors, whose sum is σ = 1100111212122. Its totient is φ = 1100111212120.

The previous prime is 1100111212087. The next prime is 1100111212127. The reversal of 1100111212121 is 1212121110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1099486462096 + 624750025 = 1048564^2 + 24995^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100111212121 - 2¹⁰ = 1100111211097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100111212096 and 1100111212105.

It is not a weakly prime, because it can be changed into another prime (1100111212127) 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, 550055606060 + 550055606061.

It is an arithmetic number, because the mean of its divisors is an integer number (550055606061).

Almost surely, 2^{1100111212121} is an apocalyptic number.

It is an amenable number.

1100111212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100111212121 is an equidigital number, since it uses as much as digits as its factorization.

1100111212121 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 1100111212121 its reverse (1212121110011), we get a palindrome (2312232322132).

It can be divided in two parts, 110011 and 1212121, that multiplied together give a palindrome (133346643331).

The spelling of 1100111212121 in words is "one trillion, one hundred billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty-one".