100222312320 has 384 divisors, whose sum is σ = 388912829760. Its totient is φ = 23597088768.

The previous prime is 100222312283. The next prime is 100222312349. The reversal of 100222312320 is 23213222001.

100222312320 is a `hidden beast` number, since 10 + 0 + 2 + 22 + 312 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 100222312293 and 100222312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693144 + ... + 1751336.

Almost surely, 2^100222312320 is an apocalyptic number.

100222312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194456414880).

100222312320 is an abundant number, since it is smaller than the sum of its proper divisors (288690517440).

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

100222312320 is a wasteful number, since it uses less digits than its factorization.

100222312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58254 (or 58239 counting only the distinct ones).

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

Adding to 100222312320 its reverse (23213222001), we get a palindrome (123435534321).

The spelling of 100222312320 in words is "one hundred billion, two hundred twenty-two million, three hundred twelve thousand, three hundred twenty".