100221122213 has 8 divisors (see below), whose sum is σ = 100318176000. Its totient is φ = 100124118208.

The previous prime is 100221122179. The next prime is 100221122219. The reversal of 100221122213 is 312221122001.

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 100221122213 - 2²⁰ = 100220073637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221122191 and 100221122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221122219) 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, 4910093 + ... + 4930461.

It is an arithmetic number, because the mean of its divisors is an integer number (12539772000).

Almost surely, 2^100221122213 is an apocalyptic number.

It is an amenable number.

100221122213 is a deficient number, since it is larger than the sum of its proper divisors (97053787).

100221122213 is a wasteful number, since it uses less digits than its factorization.

100221122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24891.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100221122213 its reverse (312221122001), we get a palindrome (412442244214).

The spelling of 100221122213 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred thirteen".