102001001200009 has 8 divisors (see below), whose sum is σ = 103925768572872. Its totient is φ = 100076241982080.

The previous prime is 102001001200003. The next prime is 102001001200061. The reversal of 102001001200009 is 900002100100201.

It can be written as a sum of positive squares in 4 ways, for example, as 62631839184784 + 39369162015225 = 7914028^2 + 6274485^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102001001200009 - 2¹⁷ = 102001001068937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102001001199965 and 102001001200001.

It is not an unprimeable number, because it can be changed into a prime (102001001200003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27107719 + ... + 30640339.

It is an arithmetic number, because the mean of its divisors is an integer number (12990721071609).

Almost surely, 2^{102001001200009} is an apocalyptic number.

It is an amenable number.

102001001200009 is a deficient number, since it is larger than the sum of its proper divisors (1924767372863).

102001001200009 is an equidigital number, since it uses as much as digits as its factorization.

102001001200009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077467.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 102001001200009 in words is "one hundred two trillion, one billion, one million, two hundred thousand, nine".