1002000100001 has 16 divisors (see below), whose sum is σ = 1120634178048. Its totient is φ = 891413510400.

The previous prime is 1002000099949. The next prime is 1002000100019. The reversal of 1002000100001 is 1000010002001.

It is a happy number.

1002000100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1002000100001 - 2¹⁸ = 1001999837857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002000100051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22085810 + ... + 22131131.

It is an arithmetic number, because the mean of its divisors is an integer number (70039636128).

Almost surely, 2^{1002000100001} is an apocalyptic number.

It is an amenable number.

1002000100001 is a deficient number, since it is larger than the sum of its proper divisors (118634078047).

1002000100001 is a wasteful number, since it uses less digits than its factorization.

1002000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44217032.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1002000100001 its reverse (1000010002001), we get a palindrome (2002010102002).

The spelling of 1002000100001 in words is "one trillion, two billion, one hundred thousand, one".