2010001001001 has 8 divisors (see below), whose sum is σ = 3062858668224. Its totient is φ = 1148572000560.

The previous prime is 2010001000993. The next prime is 2010001001027. The reversal of 2010001001001 is 1001001000102.

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

It is not a de Polignac number, because 2010001001001 - 2³ = 2010001000993 is a prime.

2010001001001 is a modest number, since divided by 1001001 gives 2010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2010001003001) 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, 47857166670 + ... + 47857166711.

It is an arithmetic number, because the mean of its divisors is an integer number (382857333528).

Almost surely, 2^{2010001001001} is an apocalyptic number.

2010001001001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010001001001 is a deficient number, since it is larger than the sum of its proper divisors (1052857667223).

2010001001001 is an equidigital number, since it uses as much as digits as its factorization.

2010001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95714333391.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2010001001001 its reverse (1001001000102), we get a palindrome (3011002001103).

The spelling of 2010001001001 in words is "two trillion, ten billion, one million, one thousand, one".