1002001001001 has 64 divisors (see below), whose sum is σ = 1899309275136. Its totient is φ = 452216448000.

The previous prime is 1002001000997. The next prime is 1002001001003. The reversal of 1002001001001 is 1001001002001.

It is not a de Polignac number, because 1002001001001 - 2² = 1002001000997 is a prime.

1002001001001 is a modest number, since divided by 1001001 gives 1002 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1002001001003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9762675 + ... + 9864776.

It is an arithmetic number, because the mean of its divisors is an integer number (29676707424).

Almost surely, 2^{1002001001001} is an apocalyptic number.

1002001001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002001001001 is a deficient number, since it is larger than the sum of its proper divisors (897308274135).

1002001001001 is a wasteful number, since it uses less digits than its factorization.

1002001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19627502.

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

Adding to 1002001001001 its reverse (1001001002001), we get a palindrome (2003002003002).

The spelling of 1002001001001 in words is "one trillion, two billion, one million, one thousand, one".