10201121000221 has 8 divisors (see below), whose sum is σ = 10216820952000. Its totient is φ = 10185426174240.

The previous prime is 10201121000183. The next prime is 10201121000251. The reversal of 10201121000221 is 12200012110201.

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

It is a cyclic number.

It is not a de Polignac number, because 10201121000221 - 2⁹ = 10201120999709 is a prime.

It is a super-2 number, since 2×10201121000221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201121000251) 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, 2711481 + ... + 5268241.

It is an arithmetic number, because the mean of its divisors is an integer number (1277102619000).

Almost surely, 2^{10201121000221} is an apocalyptic number.

It is an amenable number.

10201121000221 is a deficient number, since it is larger than the sum of its proper divisors (15699951779).

10201121000221 is an equidigital number, since it uses as much as digits as its factorization.

10201121000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562899.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201121000221 its reverse (12200012110201), we get a palindrome (22401133110422).

The spelling of 10201121000221 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.