1002101001001 has 8 divisors (see below), whose sum is σ = 1021339791360. Its totient is φ = 983039527008.

The previous prime is 1002101000981. The next prime is 1002101001007. The reversal of 1002101001001 is 1001001012001.

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

It is a cyclic number.

It is not a de Polignac number, because 1002101001001 - 2¹¹ = 1002100998953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002101001007) 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, 44317681 + ... + 44340286.

It is an arithmetic number, because the mean of its divisors is an integer number (127667473920).

Almost surely, 2^{1002101001001} is an apocalyptic number.

It is an amenable number.

1002101001001 is a deficient number, since it is larger than the sum of its proper divisors (19238790359).

1002101001001 is an equidigital number, since it uses as much as digits as its factorization.

1002101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88658183.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1002101001001 its reverse (1001001012001), we get a palindrome (2003102013002).

The spelling of 1002101001001 in words is "one trillion, two billion, one hundred one million, one thousand, one".