2221301022001 has 16 divisors (see below), whose sum is σ = 2252337215184. Its totient is φ = 2190527898624.

The previous prime is 2221301021993. The next prime is 2221301022007. The reversal of 2221301022001 is 1002201031222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 152881782001 + 2068419240000 = 391001^2 + 1438200^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221301022001 - 2³ = 2221301021993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2221301022007) 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 15 ways as a sum of consecutive naturals, for example, 12475735 + ... + 12652531.

It is an arithmetic number, because the mean of its divisors is an integer number (140771075949).

Almost surely, 2^{2221301022001} is an apocalyptic number.

It is an amenable number.

2221301022001 is a deficient number, since it is larger than the sum of its proper divisors (31036193183).

2221301022001 is a wasteful number, since it uses less digits than its factorization.

2221301022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177540.

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

Adding to 2221301022001 its reverse (1002201031222), we get a palindrome (3223502053223).

The spelling of 2221301022001 in words is "two trillion, two hundred twenty-one billion, three hundred one million, twenty-two thousand, one".