1001221221001 has 4 divisors (see below), whose sum is σ = 1010406736900. Its totient is φ = 992035705104.

The previous prime is 1001221220999. The next prime is 1001221221023.

1001221221001 is nontrivially palindromic in base 10.

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 578329830400 + 422891390601 = 760480^2 + 650301^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001221221001 - 2¹ = 1001221220999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001221221061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4592757786 + ... + 4592758003.

It is an arithmetic number, because the mean of its divisors is an integer number (252601684225).

Almost surely, 2^{1001221221001} is an apocalyptic number.

It is an amenable number.

1001221221001 is a deficient number, since it is larger than the sum of its proper divisors (9185515899).

1001221221001 is an equidigital number, since it uses as much as digits as its factorization.

1001221221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185515898.

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 1001221221001 in words is "one trillion, one billion, two hundred twenty-one million, two hundred twenty-one thousand, one".