121121121111101 has 2 divisors, whose sum is σ = 121121121111102. Its totient is φ = 121121121111100.

The previous prime is 121121121111097. The next prime is 121121121111103. The reversal of 121121121111101 is 101111121121121.

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., 61059768105625 + 60061353005476 = 7814075^2 + 7749926^2 .

It is a cyclic number.

It is not a de Polignac number, because 121121121111101 - 2² = 121121121111097 is a prime.

It is a Sophie Germain prime.

Together with 121121121111103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121121121111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121121121111103) 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, 60560560555550 + 60560560555551.

It is an arithmetic number, because the mean of its divisors is an integer number (60560560555551).

Almost surely, 2^{121121121111101} is an apocalyptic number.

It is an amenable number.

121121121111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121121111101 is an equidigital number, since it uses as much as digits as its factorization.

121121121111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 121121121111101 its reverse (101111121121121), we get a palindrome (222232242232222).

The spelling of 121121121111101 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred one".