110121001011121 has 2 divisors, whose sum is σ = 110121001011122. Its totient is φ = 110121001011120.

The previous prime is 110121001011067. The next prime is 110121001011149. The reversal of 110121001011121 is 121110100121011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103748708575521 + 6372292435600 = 10185711^2 + 2524340^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121001011121 - 2²³ = 110120992622513 is a prime.

It is not a weakly prime, because it can be changed into another prime (110121001014121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060500505560 + 55060500505561.

It is an arithmetic number, because the mean of its divisors is an integer number (55060500505561).

Almost surely, 2^{110121001011121} is an apocalyptic number.

It is an amenable number.

110121001011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121001011121 is an equidigital number, since it uses as much as digits as its factorization.

110121001011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110121001011121 its reverse (121110100121011), we get a palindrome (231231101132132).

The spelling of 110121001011121 in words is "one hundred ten trillion, one hundred twenty-one billion, one million, eleven thousand, one hundred twenty-one".