1020000101009 has 2 divisors, whose sum is σ = 1020000101010. Its totient is φ = 1020000101008.

The previous prime is 1020000100967. The next prime is 1020000101027. The reversal of 1020000101009 is 9001010000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 933101904784 + 86898196225 = 965972^2 + 294785^2 .

It is an emirp because it is prime and its reverse (9001010000201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020000101009 - 2¹⁶ = 1020000035473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020000100984 and 1020000101002.

It is not a weakly prime, because it can be changed into another prime (1020000106009) 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, 510000050504 + 510000050505.

It is an arithmetic number, because the mean of its divisors is an integer number (510000050505).

Almost surely, 2^{1020000101009} is an apocalyptic number.

It is an amenable number.

1020000101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020000101009 is an equidigital number, since it uses as much as digits as its factorization.

1020000101009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 1020000101009 in words is "one trillion, twenty billion, one hundred one thousand, nine".