1002102000001 has 8 divisors (see below), whose sum is σ = 1002624860160. Its totient is φ = 1001579251392.

The previous prime is 1002101999981. The next prime is 1002102000083. The reversal of 1002102000001 is 1000002012001.

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 1002102000001 - 2⁹ = 1002101999489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002102000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22475136 + ... + 22519678.

It is an arithmetic number, because the mean of its divisors is an integer number (125328107520).

Almost surely, 2^{1002102000001} is an apocalyptic number.

It is an amenable number.

1002102000001 is a deficient number, since it is larger than the sum of its proper divisors (522860159).

1002102000001 is an equidigital number, since it uses as much as digits as its factorization.

1002102000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55775.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1002102000001 its reverse (1000002012001), we get a palindrome (2002104012002).

The spelling of 1002102000001 in words is "one trillion, two billion, one hundred two million, one", and thus it is an aban number.