1002002021001 has 56 divisors (see below), whose sum is σ = 1592344622304. Its totient is φ = 628052123520.

The previous prime is 1002002020973. The next prime is 1002002021021. The reversal of 1002002021001 is 1001202002001.

It is not a de Polignac number, because 1002002021001 - 2¹⁷ = 1002001889929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002002021021) 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 55 ways as a sum of consecutive naturals, for example, 11991970 + ... + 12075236.

Almost surely, 2^{1002002021001} is an apocalyptic number.

It is an amenable number.

1002002021001 is a deficient number, since it is larger than the sum of its proper divisors (590342601303).

1002002021001 is an frugal number, since it uses more digits than its factorization.

1002002021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84273 (or 84258 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002002021001 its reverse (1001202002001), we get a palindrome (2003204023002).

The spelling of 1002002021001 in words is "one trillion, two billion, two million, twenty-one thousand, one".