10221221122001 has 8 divisors (see below), whose sum is σ = 10414496237760. Its totient is φ = 10027961631792.

The previous prime is 10221221121973. The next prime is 10221221122003. The reversal of 10221221122001 is 10022112212201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221221122001 is a prime.

It is a super-2 number, since 2×10221221122001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221221122003) 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 7 ways as a sum of consecutive naturals, for example, 2581541 + ... + 5206418.

It is an arithmetic number, because the mean of its divisors is an integer number (1301812029720).

Almost surely, 2^{10221221122001} is an apocalyptic number.

It is an amenable number.

10221221122001 is a deficient number, since it is larger than the sum of its proper divisors (193275115759).

10221221122001 is an equidigital number, since it uses as much as digits as its factorization.

10221221122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812775.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221221122001 its reverse (10022112212201), we get a palindrome (20243333334202).

The spelling of 10221221122001 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, one".