1021000221001 has 4 divisors (see below), whose sum is σ = 1037737929604. Its totient is φ = 1004262512400.

The previous prime is 1021000220957. The next prime is 1021000221029. The reversal of 1021000221001 is 1001220001201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 52360422976 + 968639798025 = 228824^2 + 984195^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021000221001 - 2⁹ = 1021000220489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021000221071) 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 3 ways as a sum of consecutive naturals, for example, 8368854210 + ... + 8368854331.

It is an arithmetic number, because the mean of its divisors is an integer number (259434482401).

Almost surely, 2^{1021000221001} is an apocalyptic number.

It is an amenable number.

1021000221001 is a deficient number, since it is larger than the sum of its proper divisors (16737708603).

1021000221001 is an equidigital number, since it uses as much as digits as its factorization.

1021000221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16737708602.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021000221001 its reverse (1001220001201), we get a palindrome (2022220222202).

The spelling of 1021000221001 in words is "one trillion, twenty-one billion, two hundred twenty-one thousand, one".