100012313221 has 8 divisors (see below), whose sum is σ = 105279166400. Its totient is φ = 94745764800.

The previous prime is 100012313201. The next prime is 100012313251. The reversal of 100012313221 is 122313210001.

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

It is not a de Polignac number, because 100012313221 - 2²¹ = 100010216069 is a prime.

It is a super-2 number, since 2×100012313221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012313195 and 100012313204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012313201) 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 7 ways as a sum of consecutive naturals, for example, 956365 + ... + 1055773.

It is an arithmetic number, because the mean of its divisors is an integer number (13159895800).

Almost surely, 2^100012313221 is an apocalyptic number.

It is an amenable number.

100012313221 is a deficient number, since it is larger than the sum of its proper divisors (5266853179).

100012313221 is an equidigital number, since it uses as much as digits as its factorization.

100012313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152379.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100012313221 its reverse (122313210001), we get a palindrome (222325523222).

The spelling of 100012313221 in words is "one hundred billion, twelve million, three hundred thirteen thousand, two hundred twenty-one".