1002000020021 has 192 divisors, whose sum is σ = 1507580067840. Its totient is φ = 645215155200.

The previous prime is 1002000019997. The next prime is 1002000020123. The reversal of 1002000020021 is 1200200002001.

It is not a de Polignac number, because 1002000020021 - 2³⁴ = 984820150837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002000019990 and 1002000020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000025021) 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 191 ways as a sum of consecutive naturals, for example, 278873801 + ... + 278877393.

It is an arithmetic number, because the mean of its divisors is an integer number (7851979520).

Almost surely, 2^{1002000020021} is an apocalyptic number.

1002000020021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002000020021 is a deficient number, since it is larger than the sum of its proper divisors (505580047819).

1002000020021 is a wasteful number, since it uses less digits than its factorization.

1002000020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3717 counting only the distinct ones).

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

Adding to 1002000020021 its reverse (1200200002001), we get a palindrome (2202200022022).

The spelling of 1002000020021 in words is "one trillion, two billion, twenty thousand, twenty-one".