1002121004617 has 2 divisors, whose sum is σ = 1002121004618. Its totient is φ = 1002121004616.

The previous prime is 1002121004581. The next prime is 1002121004627. The reversal of 1002121004617 is 7164001212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 976972119561 + 25148885056 = 988419^2 + 158584^2 .

It is an emirp because it is prime and its reverse (7164001212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002121004617 - 2³¹ = 999973520969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002121004591 and 1002121004600.

It is not a weakly prime, because it can be changed into another prime (1002121004627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501060502308 + 501060502309.

It is an arithmetic number, because the mean of its divisors is an integer number (501060502309).

Almost surely, 2^{1002121004617} is an apocalyptic number.

It is an amenable number.

1002121004617 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002121004617 is an equidigital number, since it uses as much as digits as its factorization.

1002121004617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 1002121004617 its reverse (7164001212001), we get a palindrome (8166122216618).

The spelling of 1002121004617 in words is "one trillion, two billion, one hundred twenty-one million, four thousand, six hundred seventeen".