1001002100001 has 8 divisors (see below), whose sum is σ = 1334680060224. Its totient is φ = 667329436560.

The previous prime is 1001002099949. The next prime is 1001002100009. The reversal of 1001002100001 is 1000012001001.

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

It is not a de Polignac number, because 1001002100001 - 2²⁹ = 1000465229089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001002100009) 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, 859986 + ... + 1655771.

It is an arithmetic number, because the mean of its divisors is an integer number (166835007528).

Almost surely, 2^{1001002100001} is an apocalyptic number.

It is an amenable number.

1001002100001 is a deficient number, since it is larger than the sum of its proper divisors (333677960223).

1001002100001 is a wasteful number, since it uses less digits than its factorization.

1001002100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648391.

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

Adding to 1001002100001 its reverse (1000012001001), we get a palindrome (2001014101002).

The spelling of 1001002100001 in words is "one trillion, one billion, two million, one hundred thousand, one".