100222301322 has 288 divisors, whose sum is σ = 275228029440. Its totient is φ = 27123465600.

The previous prime is 100222301321. The next prime is 100222301351. The reversal of 100222301322 is 223103222001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100222301295 and 100222301304.

It is not an unprimeable number, because it can be changed into a prime (100222301321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23696704 + ... + 23700932.

It is an arithmetic number, because the mean of its divisors is an integer number (955652880).

Almost surely, 2^100222301322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222301322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137614014720).

100222301322 is an abundant number, since it is smaller than the sum of its proper divisors (175005728118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100222301322 is a wasteful number, since it uses less digits than its factorization.

100222301322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100222301322 its reverse (223103222001), we get a palindrome (323325523323).

The spelling of 100222301322 in words is "one hundred billion, two hundred twenty-two million, three hundred one thousand, three hundred twenty-two".