1100212012121 has 2 divisors, whose sum is σ = 1100212012122. Its totient is φ = 1100212012120.

The previous prime is 1100212012103. The next prime is 1100212012177. The reversal of 1100212012121 is 1212102120011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 860699652121 + 239512360000 = 927739^2 + 489400^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100212012121 - 2³⁴ = 1083032142937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100212012096 and 1100212012105.

It is not a weakly prime, because it can be changed into another prime (1100212012021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550106006060 + 550106006061.

It is an arithmetic number, because the mean of its divisors is an integer number (550106006061).

Almost surely, 2^{1100212012121} is an apocalyptic number.

It is an amenable number.

1100212012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100212012121 is an equidigital number, since it uses as much as digits as its factorization.

1100212012121 is an evil number, because the sum of its binary digits is even.

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

Adding to 1100212012121 its reverse (1212102120011), we get a palindrome (2312314132132).

The spelling of 1100212012121 in words is "one trillion, one hundred billion, two hundred twelve million, twelve thousand, one hundred twenty-one".