1002021020001 has 12 divisors (see below), whose sum is σ = 1448781303060. Its totient is φ = 667359732960.

The previous prime is 1002021019939. The next prime is 1002021020081. The reversal of 1002021020001 is 1000201202001.

It can be written as a sum of positive squares in 2 ways, for example, as 322425230625 + 679595789376 = 567825^2 + 824376^2 .

It is not a de Polignac number, because 1002021020001 - 2⁷ = 1002021019873 is a prime.

It is a super-2 number, since 2×1002021020001² (a number of 25 digits) contains 22 as substring.

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 (1002021020081) 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 11 ways as a sum of consecutive naturals, for example, 54513666 + ... + 54532043.

It is an arithmetic number, because the mean of its divisors is an integer number (120731775255).

Almost surely, 2^{1002021020001} is an apocalyptic number.

It is an amenable number.

1002021020001 is a deficient number, since it is larger than the sum of its proper divisors (446760283059).

1002021020001 is a wasteful number, since it uses less digits than its factorization.

1002021020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109046736 (or 109046733 counting only the distinct ones).

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

Adding to 1002021020001 its reverse (1000201202001), we get a palindrome (2002222222002).

The spelling of 1002021020001 in words is "one trillion, two billion, twenty-one million, twenty thousand, one".