10221101100221 has 8 divisors (see below), whose sum is σ = 11150771085984. Its totient is φ = 9291510943920.

The previous prime is 10221101100211. The next prime is 10221101100229. The reversal of 10221101100221 is 12200110112201.

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-10221101100221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221101100196 and 10221101100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221101100229) 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 7 ways as a sum of consecutive naturals, for example, 19689491 + ... + 20201936.

It is an arithmetic number, because the mean of its divisors is an integer number (1393846385748).

Almost surely, 2^{10221101100221} is an apocalyptic number.

10221101100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221101100221 is a deficient number, since it is larger than the sum of its proper divisors (929669985763).

10221101100221 is a wasteful number, since it uses less digits than its factorization.

10221101100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39914731.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221101100221 its reverse (12200110112201), we get a palindrome (22421211212422).

The spelling of 10221101100221 in words is "ten trillion, two hundred twenty-one billion, one hundred one million, one hundred thousand, two hundred twenty-one".