100000223120 has 160 divisors (see below), whose sum is σ = 275587123200. Its totient is φ = 33723164160.

The previous prime is 100000223053. The next prime is 100000223143. The reversal of 100000223120 is 21322000001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643969 + ... + 1703711.

It is an arithmetic number, because the mean of its divisors is an integer number (1722419520).

Almost surely, 2^100000223120 is an apocalyptic number.

100000223120 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 100000223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137793561600).

100000223120 is an abundant number, since it is smaller than the sum of its proper divisors (175586900080).

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

100000223120 is an equidigital number, since it uses as much as digits as its factorization.

100000223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59838 (or 59818 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100000223120 its reverse (21322000001), we get a palindrome (121322223121).

The spelling of 100000223120 in words is "one hundred billion, two hundred twenty-three thousand, one hundred twenty".