1000020010221 has 12 divisors (see below), whose sum is σ = 1455016950972. Its totient is φ = 661813728576.

The previous prime is 1000020010207. The next prime is 1000020010229. The reversal of 1000020010221 is 1220100200001.

It can be written as a sum of positive squares in 2 ways, for example, as 401696102025 + 598323908196 = 633795^2 + 773514^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1000020010221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020010229) 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 11 ways as a sum of consecutive naturals, for example, 405521886 + ... + 405524351.

It is an arithmetic number, because the mean of its divisors is an integer number (121251412581).

Almost surely, 2^{1000020010221} is an apocalyptic number.

It is an amenable number.

1000020010221 is a deficient number, since it is larger than the sum of its proper divisors (454996940751).

1000020010221 is a wasteful number, since it uses less digits than its factorization.

1000020010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811046380 (or 811046377 counting only the distinct ones).

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

Adding to 1000020010221 its reverse (1220100200001), we get a palindrome (2220120210222).

The spelling of 1000020010221 in words is "one trillion, twenty million, ten thousand, two hundred twenty-one".