10000101221 has 16 divisors (see below), whose sum is σ = 10949603328. Its totient is φ = 9057399600.

The previous prime is 10000101211. The next prime is 10000101271. The reversal of 10000101221 is 12210100001.

10000101221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10000101221 - 2⁶ = 10000101157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000101199 and 10000101208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6480176 + ... + 6481718.

It is an arithmetic number, because the mean of its divisors is an integer number (684350208).

Almost surely, 2^10000101221 is an apocalyptic number.

10000101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000101221 is a deficient number, since it is larger than the sum of its proper divisors (949502107).

10000101221 is a wasteful number, since it uses less digits than its factorization.

10000101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000101221 its reverse (12210100001), we get a palindrome (22210201222).

The spelling of 10000101221 in words is "ten billion, one hundred one thousand, two hundred twenty-one".