1020002020001 has 8 divisors (see below), whose sum is σ = 1030206100008. Its totient is φ = 1009800000000.

The previous prime is 1020002019989. The next prime is 1020002020027. The reversal of 1020002020001 is 1000202000201.

It can be written as a sum of positive squares in 4 ways, for example, as 747049062400 + 272952957601 = 864320^2 + 522449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020002020001 is a prime.

It is a super-2 number, since 2×1020002020001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020002020201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490001 + ... + 1510001.

It is an arithmetic number, because the mean of its divisors is an integer number (128775762501).

Almost surely, 2^{1020002020001} is an apocalyptic number.

It is an amenable number.

1020002020001 is a deficient number, since it is larger than the sum of its proper divisors (10204080007).

1020002020001 is a wasteful number, since it uses less digits than its factorization.

1020002020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030003.

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

Adding to 1020002020001 its reverse (1000202000201), we get a palindrome (2020204020202).

The spelling of 1020002020001 in words is "one trillion, twenty billion, two million, twenty thousand, one".