121121122100003 has 2 divisors, whose sum is σ = 121121122100004. Its totient is φ = 121121122100002.

The previous prime is 121121122099987. The next prime is 121121122100087. The reversal of 121121122100003 is 300001221121121.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 121121122100003 - 2⁴ = 121121122099987 is a prime.

It is not a weakly prime, because it can be changed into another prime (121121122102003) 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, 60560561050001 + 60560561050002.

It is an arithmetic number, because the mean of its divisors is an integer number (60560561050002).

Almost surely, 2^{121121122100003} is an apocalyptic number.

121121122100003 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121122100003 is an equidigital number, since it uses as much as digits as its factorization.

121121122100003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 121121122100003 its reverse (300001221121121), we get a palindrome (421122343221124).

The spelling of 121121122100003 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, three".