100101222321 has 8 divisors (see below), whose sum is σ = 133923820800. Its totient is φ = 66506386032.

The previous prime is 100101222313. The next prime is 100101222337. The reversal of 100101222321 is 123222101001.

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

It is not a de Polignac number, because 100101222321 - 2³ = 100101222313 is a prime.

It is a super-3 number, since 3×100101222321³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101222321.

It is not an unprimeable number, because it can be changed into a prime (100101222521) 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, 56939521 + ... + 56941278.

It is an arithmetic number, because the mean of its divisors is an integer number (16740477600).

Almost surely, 2^100101222321 is an apocalyptic number.

It is an amenable number.

100101222321 is a deficient number, since it is larger than the sum of its proper divisors (33822598479).

100101222321 is a wasteful number, since it uses less digits than its factorization.

100101222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113881095.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100101222321 its reverse (123222101001), we get a palindrome (223323323322).

The spelling of 100101222321 in words is "one hundred billion, one hundred one million, two hundred twenty-two thousand, three hundred twenty-one".