10221011110001 has 4 divisors (see below), whose sum is σ = 10259007434100. Its totient is φ = 10183014785904.

The previous prime is 10221011109977. The next prime is 10221011110069. The reversal of 10221011110001 is 10001111012201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6096943701601 + 4124067408400 = 2469199^2 + 2030780^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221011110001 - 2¹⁸ = 10221010847857 is a prime.

It is a super-3 number, since 3×10221011110001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221011110081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18998161646 + ... + 18998162183.

It is an arithmetic number, because the mean of its divisors is an integer number (2564751858525).

Almost surely, 2^{10221011110001} is an apocalyptic number.

It is an amenable number.

10221011110001 is a deficient number, since it is larger than the sum of its proper divisors (37996324099).

10221011110001 is an equidigital number, since it uses as much as digits as its factorization.

10221011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37996324098.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10221011110001 its reverse (10001111012201), we get a palindrome (20222122122202).

The spelling of 10221011110001 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred ten thousand, one".