10211121221001 has 8 divisors (see below), whose sum is σ = 13616879673984. Its totient is φ = 6806388457680.

The previous prime is 10211121220907. The next prime is 10211121221071. The reversal of 10211121221001 is 10012212111201.

It is a happy number.

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

It is not a de Polignac number, because 10211121221001 - 2¹⁰ = 10211121219977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211121221071) 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, 256399185 + ... + 256439006.

It is an arithmetic number, because the mean of its divisors is an integer number (1702109959248).

Almost surely, 2^{10211121221001} is an apocalyptic number.

It is an amenable number.

10211121221001 is a deficient number, since it is larger than the sum of its proper divisors (3405758452983).

10211121221001 is an equidigital number, since it uses as much as digits as its factorization.

10211121221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512844831.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10211121221001 its reverse (10012212111201), we get a palindrome (20223333332202).

The spelling of 10211121221001 in words is "ten trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, one".