1002020202001 has 64 divisors (see below), whose sum is σ = 1278147644928. Its totient is φ = 764606988288.

The previous prime is 1002020201977. The next prime is 1002020202019.

1002020202001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1002020202001 - 2⁵ = 1002020201969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002020202061) 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 63 ways as a sum of consecutive naturals, for example, 60967881 + ... + 60984313.

It is an arithmetic number, because the mean of its divisors is an integer number (19971056952).

Almost surely, 2^{1002020202001} is an apocalyptic number.

It is an amenable number.

1002020202001 is a deficient number, since it is larger than the sum of its proper divisors (276127442927).

1002020202001 is a wasteful number, since it uses less digits than its factorization.

1002020202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16730.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 1002020 and 202001, that added together give a palindrome (1204021).

The spelling of 1002020202001 in words is "one trillion, two billion, twenty million, two hundred two thousand, one".