1001002009961 has 2 divisors, whose sum is σ = 1001002009962. Its totient is φ = 1001002009960.

The previous prime is 1001002009939. The next prime is 1001002009991. The reversal of 1001002009961 is 1699002001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 971959374400 + 29042635561 = 985880^2 + 170419^2 .

It is an emirp because it is prime and its reverse (1699002001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001002009961 - 2¹⁴ = 1001001993577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001002009921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500501004980 + 500501004981.

It is an arithmetic number, because the mean of its divisors is an integer number (500501004981).

Almost surely, 2^{1001002009961} is an apocalyptic number.

It is an amenable number.

1001002009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001002009961 is an equidigital number, since it uses as much as digits as its factorization.

1001002009961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 1001002009961 in words is "one trillion, one billion, two million, nine thousand, nine hundred sixty-one".