2002020001021 has 16 divisors (see below), whose sum is σ = 2193059502000. Its totient is φ = 1819132535808.

The previous prime is 2002020001019. The next prime is 2002020001031. The reversal of 2002020001021 is 1201000202002.

It can be written as a sum of positive squares in 8 ways, for example, as 13609788921 + 1988410212100 = 116661^2 + 1410110^2 .

It is not a de Polignac number, because 2002020001021 - 2¹ = 2002020001019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002020000989 and 2002020001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002020001031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6178555 + ... + 6494503.

It is an arithmetic number, because the mean of its divisors is an integer number (137066218875).

Almost surely, 2^{2002020001021} is an apocalyptic number.

It is an amenable number.

2002020001021 is a deficient number, since it is larger than the sum of its proper divisors (191039500979).

2002020001021 is a wasteful number, since it uses less digits than its factorization.

2002020001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328848.

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

Adding to 2002020001021 its reverse (1201000202002), we get a palindrome (3203020203023).

The spelling of 2002020001021 in words is "two trillion, two billion, twenty million, one thousand, twenty-one".