110121110010101 has 2 divisors, whose sum is σ = 110121110010102. Its totient is φ = 110121110010100.

The previous prime is 110121110009987. The next prime is 110121110010181. The reversal of 110121110010101 is 101010011121011.

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., 100427856676900 + 9693253333201 = 10021370^2 + 3113399^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121110010101 - 2¹⁰ = 110121110009077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110121110010181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060555005050 + 55060555005051.

It is an arithmetic number, because the mean of its divisors is an integer number (55060555005051).

Almost surely, 2^{110121110010101} is an apocalyptic number.

It is an amenable number.

110121110010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121110010101 is an equidigital number, since it uses as much as digits as its factorization.

110121110010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110121110010101 its reverse (101010011121011), we get a palindrome (211131121131112).

The spelling of 110121110010101 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred ten million, ten thousand, one hundred one".