110010010108121 has 2 divisors, whose sum is σ = 110010010108122. Its totient is φ = 110010010108120.

The previous prime is 110010010108109. The next prime is 110010010108123. The reversal of 110010010108121 is 121801010010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109992270798400 + 17739309721 = 10487720^2 + 133189^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010010108121 - 2¹⁰ = 110010010107097 is a prime.

It is a super-2 number, since 2×110010010108121² (a number of 29 digits) contains 22 as substring.

Together with 110010010108123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110010010108121.

It is not a weakly prime, because it can be changed into another prime (110010010108123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005005054060 + 55005005054061.

It is an arithmetic number, because the mean of its divisors is an integer number (55005005054061).

Almost surely, 2^{110010010108121} is an apocalyptic number.

It is an amenable number.

110010010108121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010010108121 is an equidigital number, since it uses as much as digits as its factorization.

110010010108121 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 17.

Adding to 110010010108121 its reverse (121801010010011), we get a palindrome (231811020118132).

The spelling of 110010010108121 in words is "one hundred ten trillion, ten billion, ten million, one hundred eight thousand, one hundred twenty-one".