1002223041001 has 24 divisors (see below), whose sum is σ = 1256235396360. Its totient is φ = 792523533312.

The previous prime is 1002223040999. The next prime is 1002223041011. The reversal of 1002223041001 is 1001403222001.

It can be written as a sum of positive squares in 4 ways, for example, as 365419041001 + 636804000000 = 604499^2 + 798000^2 .

It is not a de Polignac number, because 1002223041001 - 2¹ = 1002223040999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002223041011) 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 23 ways as a sum of consecutive naturals, for example, 699865 + ... + 1579321.

It is an arithmetic number, because the mean of its divisors is an integer number (52343141515).

Almost surely, 2^{1002223041001} is an apocalyptic number.

It is an amenable number.

1002223041001 is a deficient number, since it is larger than the sum of its proper divisors (254012355359).

1002223041001 is a wasteful number, since it uses less digits than its factorization.

1002223041001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881273 (or 881266 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1002223041001 its reverse (1001403222001), we get a palindrome (2003626263002).

The spelling of 1002223041001 in words is "one trillion, two billion, two hundred twenty-three million, forty-one thousand, one".