10221211221101 has 8 divisors (see below), whose sum is σ = 10471005027000. Its totient is φ = 9971441032960.

The previous prime is 10221211221017. The next prime is 10221211221119. The reversal of 10221211221101 is 10112211212201.

It can be written as a sum of positive squares in 4 ways, for example, as 348984381001 + 9872226840100 = 590749^2 + 3142010^2 .

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-10221211221101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221211221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221211121101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5026736 + ... + 6760953.

It is an arithmetic number, because the mean of its divisors is an integer number (1308875628375).

Almost surely, 2^{10221211221101} is an apocalyptic number.

It is an amenable number.

10221211221101 is a deficient number, since it is larger than the sum of its proper divisors (249793805899).

10221211221101 is a wasteful number, since it uses less digits than its factorization.

10221211221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11808879.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10221211221101 its reverse (10112211212201), we get a palindrome (20333422433302).

The spelling of 10221211221101 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred one".