1001111020009 has 2 divisors, whose sum is σ = 1001111020010. Its totient is φ = 1001111020008.

The previous prime is 1001111019943. The next prime is 1001111020033. The reversal of 1001111020009 is 9000201111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000944222784 + 166797225 = 1000472^2 + 12915^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001111020009 - 2¹⁵ = 1001110987241 is a prime.

It is a super-3 number, since 3×1001111020009³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001111019974 and 1001111020001.

It is not a weakly prime, because it can be changed into another prime (1001111020099) 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, 500555510004 + 500555510005.

It is an arithmetic number, because the mean of its divisors is an integer number (500555510005).

Almost surely, 2^{1001111020009} is an apocalyptic number.

It is an amenable number.

1001111020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111020009 is an equidigital number, since it uses as much as digits as its factorization.

1001111020009 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 16.

The spelling of 1001111020009 in words is "one trillion, one billion, one hundred eleven million, twenty thousand, nine".