2000102010001 has 8 divisors (see below), whose sum is σ = 2033096503208. Its totient is φ = 1967114160000.

The previous prime is 2000102009989. The next prime is 2000102010013. The reversal of 2000102010001 is 1000102010002.

It is an interprime number because it is at equal distance from previous prime (2000102009989) and next prime (2000102010013).

It can be written as a sum of positive squares in 4 ways, for example, as 177396804225 + 1822705205776 = 421185^2 + 1350076^2 .

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 2000102010001 - 2¹⁵ = 2000101977233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000102010031) 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 in 7 ways as a sum of consecutive naturals, for example, 1051860 + ... + 2259781.

It is an arithmetic number, because the mean of its divisors is an integer number (254137062901).

Almost surely, 2^{2000102010001} is an apocalyptic number.

It is an amenable number.

2000102010001 is a deficient number, since it is larger than the sum of its proper divisors (32994493207).

2000102010001 is an equidigital number, since it uses as much as digits as its factorization.

2000102010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321603.

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

Adding to 2000102010001 its reverse (1000102010002), we get a palindrome (3000204020003).

Subtracting from 2000102010001 its reverse (1000102010002), we obtain a palindrome (999999999999).

The spelling of 2000102010001 in words is "two trillion, one hundred two million, ten thousand, one".