1100212021121 has 2 divisors, whose sum is σ = 1100212021122. Its totient is φ = 1100212021120.

The previous prime is 1100212021063. The next prime is 1100212021123. The reversal of 1100212021121 is 1211202120011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 986416444225 + 113795576896 = 993185^2 + 337336^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100212021121 - 2¹⁸ = 1100211758977 is a prime.

Together with 1100212021123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100212021096 and 1100212021105.

It is not a weakly prime, because it can be changed into another prime (1100212021123) 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, 550106010560 + 550106010561.

It is an arithmetic number, because the mean of its divisors is an integer number (550106010561).

Almost surely, 2^{1100212021121} is an apocalyptic number.

It is an amenable number.

1100212021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100212021121 is an equidigital number, since it uses as much as digits as its factorization.

1100212021121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1100212021121 its reverse (1211202120011), we get a palindrome (2311414141132).

The spelling of 1100212021121 in words is "one trillion, one hundred billion, two hundred twelve million, twenty-one thousand, one hundred twenty-one".