1002121211213 has 2 divisors, whose sum is σ = 1002121211214. Its totient is φ = 1002121211212.

The previous prime is 1002121211171. The next prime is 1002121211227. The reversal of 1002121211213 is 3121121212001.

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., 866168985124 + 135952226089 = 930682^2 + 368717^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002121211213 - 2³⁴ = 984941342029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002121211191 and 1002121211200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002121211243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501060605606 + 501060605607.

It is an arithmetic number, because the mean of its divisors is an integer number (501060605607).

Almost surely, 2^{1002121211213} is an apocalyptic number.

It is an amenable number.

1002121211213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002121211213 is an equidigital number, since it uses as much as digits as its factorization.

1002121211213 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 1002121211213 its reverse (3121121212001), we get a palindrome (4123242423214).

The spelling of 1002121211213 in words is "one trillion, two billion, one hundred twenty-one million, two hundred eleven thousand, two hundred thirteen".