100110121 has 2 divisors, whose sum is σ = 100110122. Its totient is φ = 100110120.

The previous prime is 100110119. The next prime is 100110133. The reversal of 100110121 is 121011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87684496 + 12425625 = 9364^2 + 3525^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110121 - 2¹ = 100110119 is a prime.

Together with 100110119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100119121) 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, 50055060 + 50055061.

It is an arithmetic number, because the mean of its divisors is an integer number (50055061).

Almost surely, 2^100110121 is an apocalyptic number.

It is an amenable number.

100110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110121 is an equidigital number, since it uses as much as digits as its factorization.

100110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 100110121 is about 10005.5045350047. The cubic root of 100110121 is about 464.3291996599.

Adding to 100110121 its reverse (121011001), we get a palindrome (221121122).

The spelling of 100110121 in words is "one hundred million, one hundred ten thousand, one hundred twenty-one".