100222030320 has 320 divisors, whose sum is σ = 337435545600. Its totient is φ = 24545525760.

The previous prime is 100222030301. The next prime is 100222030423. The reversal of 100222030320 is 23030222001.

It is a super-2 number, since 2×100222030320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100222030320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12725904 + ... + 12733776.

It is an arithmetic number, because the mean of its divisors is an integer number (1054486080).

Almost surely, 2^100222030320 is an apocalyptic number.

100222030320 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 100222030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168717772800).

100222030320 is an abundant number, since it is smaller than the sum of its proper divisors (237213515280).

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

100222030320 is a wasteful number, since it uses less digits than its factorization.

100222030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 100222030320 its reverse (23030222001), we get a palindrome (123252252321).

The spelling of 100222030320 in words is "one hundred billion, two hundred twenty-two million, thirty thousand, three hundred twenty".