1002001100001 has 64 divisors (see below), whose sum is σ = 1535280307200. Its totient is φ = 575648236800.

The previous prime is 1002001099997. The next prime is 1002001100017. The reversal of 1002001100001 is 1000011002001.

It is not a de Polignac number, because 1002001100001 - 2² = 1002001099997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002001100041) 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 63 ways as a sum of consecutive naturals, for example, 31916530 + ... + 31947908.

It is an arithmetic number, because the mean of its divisors is an integer number (23988754800).

Almost surely, 2^{1002001100001} is an apocalyptic number.

1002001100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002001100001 is a deficient number, since it is larger than the sum of its proper divisors (533279207199).

1002001100001 is a wasteful number, since it uses less digits than its factorization.

1002001100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32030.

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

Adding to 1002001100001 its reverse (1000011002001), we get a palindrome (2002012102002).

It can be divided in two parts, 1002001 and 100001, that multiplied together give a palindrome (100201102001).

The spelling of 1002001100001 in words is "one trillion, two billion, one million, one hundred thousand, one".