100221312013 has 8 divisors (see below), whose sum is σ = 100425713976. Its totient is φ = 100017120000.

The previous prime is 100221311999. The next prime is 100221312017. The reversal of 100221312013 is 310213122001.

It can be written as a sum of positive squares in 4 ways, for example, as 1249410409 + 98971901604 = 35347^2 + 314598^2 .

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 100221312013 - 2⁹ = 100221311501 is a prime.

It is a super-2 number, since 2×100221312013² (a number of 23 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 (100221312017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921513 + ... + 1024513.

It is an arithmetic number, because the mean of its divisors is an integer number (12553214247).

Almost surely, 2^100221312013 is an apocalyptic number.

It is an amenable number.

100221312013 is a deficient number, since it is larger than the sum of its proper divisors (204401963).

100221312013 is a wasteful number, since it uses less digits than its factorization.

100221312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104975.

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

Adding to 100221312013 its reverse (310213122001), we get a palindrome (410434434014).

The spelling of 100221312013 in words is "one hundred billion, two hundred twenty-one million, three hundred twelve thousand, thirteen".