10100113221 has 32 divisors (see below), whose sum is σ = 15237703296. Its totient is φ = 5896800000.

The previous prime is 10100113189. The next prime is 10100113223. The reversal of 10100113221 is 12231100101.

10100113221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100113221 - 2⁵ = 10100113189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100113197 and 10100113206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100113223) 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 31 ways as a sum of consecutive naturals, for example, 82371 + ... + 164271.

It is an arithmetic number, because the mean of its divisors is an integer number (476178228).

Almost surely, 2^10100113221 is an apocalyptic number.

10100113221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100113221 is a deficient number, since it is larger than the sum of its proper divisors (5137590075).

10100113221 is a wasteful number, since it uses less digits than its factorization.

10100113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82053.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10100113221 its reverse (12231100101), we get a palindrome (22331213322).

It can be divided in two parts, 10100 and 113221, that added together give a palindrome (123321).

The spelling of 10100113221 in words is "ten billion, one hundred million, one hundred thirteen thousand, two hundred twenty-one".