200100001009 has 2 divisors, whose sum is σ = 200100001010. Its totient is φ = 200100001008.

The previous prime is 200100000977. The next prime is 200100001039. The reversal of 200100001009 is 900100001002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196334951409 + 3765049600 = 443097^2 + 61360^2 .

It is a cyclic number.

It is not a de Polignac number, because 200100001009 - 2⁵ = 200100000977 is a prime.

It is a super-3 number, since 3×200100001009³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200100001009.

It is not a weakly prime, because it can be changed into another prime (200100001039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100050000504 + 100050000505.

It is an arithmetic number, because the mean of its divisors is an integer number (100050000505).

Almost surely, 2^200100001009 is an apocalyptic number.

It is an amenable number.

200100001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

200100001009 is an equidigital number, since it uses as much as digits as its factorization.

200100001009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

The spelling of 200100001009 in words is "two hundred billion, one hundred million, one thousand, nine".