110011200012121 has 2 divisors, whose sum is σ = 110011200012122. Its totient is φ = 110011200012120.

The previous prime is 110011200012073. The next prime is 110011200012149. The reversal of 110011200012121 is 121210002110011.

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., 106791328652121 + 3219871360000 = 10333989^2 + 1794400^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011200012121 - 2²⁷ = 110011065794393 is a prime.

It is not a weakly prime, because it can be changed into another prime (110011200016121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005600006060 + 55005600006061.

It is an arithmetic number, because the mean of its divisors is an integer number (55005600006061).

Almost surely, 2^{110011200012121} is an apocalyptic number.

It is an amenable number.

110011200012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011200012121 is an equidigital number, since it uses as much as digits as its factorization.

110011200012121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110011200012121 its reverse (121210002110011), we get a palindrome (231221202122132).

The spelling of 110011200012121 in words is "one hundred ten trillion, eleven billion, two hundred million, twelve thousand, one hundred twenty-one".