1001001001021 has 8 divisors (see below), whose sum is σ = 1170605822144. Its totient is φ = 838047349440.

The previous prime is 1001001000947. The next prime is 1001001001037. The reversal of 1001001001021 is 1201001001001.

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

It is not a de Polignac number, because 1001001001021 - 2¹³ = 1001000992829 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 a junction number, because it is equal to n+sod(n) for n = 1001001000995 and 1001001001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001001061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1662792060 + ... + 1662792661.

It is an arithmetic number, because the mean of its divisors is an integer number (146325727768).

Almost surely, 2^{1001001001021} is an apocalyptic number.

It is an amenable number.

1001001001021 is a deficient number, since it is larger than the sum of its proper divisors (169604821123).

1001001001021 is an equidigital number, since it uses as much as digits as its factorization.

1001001001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325584771.

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

Adding to 1001001001021 its reverse (1201001001001), we get a palindrome (2202002002022).

The spelling of 1001001001021 in words is "one trillion, one billion, one million, one thousand, twenty-one".