121001010100121 has 2 divisors, whose sum is σ = 121001010100122. Its totient is φ = 121001010100120.

The previous prime is 121001010099989. The next prime is 121001010100123.

121001010100121 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113715329460121 + 7285680640000 = 10663739^2 + 2699200^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121001010100121 is a prime.

Together with 121001010100123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (121001010100123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60500505050060 + 60500505050061.

It is an arithmetic number, because the mean of its divisors is an integer number (60500505050061).

Almost surely, 2^{121001010100121} is an apocalyptic number.

It is an amenable number.

121001010100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121001010100121 is an equidigital number, since it uses as much as digits as its factorization.

121001010100121 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 11.

The spelling of 121001010100121 in words is "one hundred twenty-one trillion, one billion, ten million, one hundred thousand, one hundred twenty-one".