1002000002021 has 16 divisors (see below), whose sum is σ = 1023654970800. Its totient is φ = 980595652608.

The previous prime is 1002000002011. The next prime is 1002000002033. The reversal of 1002000002021 is 1202000002001.

It can be written as a sum of positive squares in 8 ways, for example, as 1771989025 + 1000228012996 = 42095^2 + 1000114^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002000002021 - 2¹⁸ = 1001999739877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000002011) 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, 9034721 + ... + 9144953.

It is an arithmetic number, because the mean of its divisors is an integer number (63978435675).

Almost surely, 2^{1002000002021} is an apocalyptic number.

It is an amenable number.

1002000002021 is a deficient number, since it is larger than the sum of its proper divisors (21654968779).

1002000002021 is a wasteful number, since it uses less digits than its factorization.

1002000002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111368.

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

Adding to 1002000002021 its reverse (1202000002001), we get a palindrome (2204000004022).

The spelling of 1002000002021 in words is "one trillion, two billion, two thousand, twenty-one".