1001002101001 has 8 divisors (see below), whose sum is σ = 1144247249664. Its totient is φ = 857818164480.

The previous prime is 1001002100899. The next prime is 1001002101013. The reversal of 1001002101001 is 1001012001001.

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 1001002101001 - 2²¹ = 1001000003849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001002111001) 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, 15267985 + ... + 15333406.

It is an arithmetic number, because the mean of its divisors is an integer number (143030906208).

Almost surely, 2^{1001002101001} is an apocalyptic number.

It is an amenable number.

1001002101001 is a deficient number, since it is larger than the sum of its proper divisors (143245148663).

1001002101001 is an equidigital number, since it uses as much as digits as its factorization.

1001002101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30606071.

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

Adding to 1001002101001 its reverse (1001012001001), we get a palindrome (2002014102002).

The spelling of 1001002101001 in words is "one trillion, one billion, two million, one hundred one thousand, one".