1000121220113 has 2 divisors, whose sum is σ = 1000121220114. Its totient is φ = 1000121220112.

The previous prime is 1000121220089. The next prime is 1000121220121. The reversal of 1000121220113 is 3110221210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 535717133329 + 464404086784 = 731927^2 + 681472^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000121220113 - 2¹⁰ = 1000121219089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000121220713) 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, 500060610056 + 500060610057.

It is an arithmetic number, because the mean of its divisors is an integer number (500060610057).

Almost surely, 2^{1000121220113} is an apocalyptic number.

It is an amenable number.

1000121220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000121220113 is an equidigital number, since it uses as much as digits as its factorization.

1000121220113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1000121220113 its reverse (3110221210001), we get a palindrome (4110342430114).

The spelling of 1000121220113 in words is "one trillion, one hundred twenty-one million, two hundred twenty thousand, one hundred thirteen".