100102001000009 has 2 divisors, whose sum is σ = 100102001000010. Its totient is φ = 100102001000008.

The previous prime is 100102000999997. The next prime is 100102001000039. The reversal of 100102001000009 is 900000100201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80185667076025 + 19916333923984 = 8954645^2 + 4462772^2 .

It is an emirp because it is prime and its reverse (900000100201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100102001000009 - 2⁴ = 100102000999993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102000999957 and 100102001000002.

It is not a weakly prime, because it can be changed into another prime (100102001000039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051000500004 + 50051000500005.

It is an arithmetic number, because the mean of its divisors is an integer number (50051000500005).

Almost surely, 2^{100102001000009} is an apocalyptic number.

It is an amenable number.

100102001000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102001000009 is an equidigital number, since it uses as much as digits as its factorization.

100102001000009 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 14.

The spelling of 100102001000009 in words is "one hundred trillion, one hundred two billion, one million, nine", and thus it is an aban number.