100223302120 has 128 divisors (see below), whose sum is σ = 240297062400. Its totient is φ = 37490323456.

The previous prime is 100223302063. The next prime is 100223302139. The reversal of 100223302120 is 21203322001.

It is a junction number, because it is equal to n+sod(n) for n = 100223302094 and 100223302103.

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, 90372126 + ... + 90373234.

It is an arithmetic number, because the mean of its divisors is an integer number (1877320800).

Almost surely, 2^100223302120 is an apocalyptic number.

100223302120 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 100223302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120148531200).

100223302120 is an abundant number, since it is smaller than the sum of its proper divisors (140073760280).

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

100223302120 is a wasteful number, since it uses less digits than its factorization.

100223302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100223302120 its reverse (21203322001), we get a palindrome (121426624121).

The spelling of 100223302120 in words is "one hundred billion, two hundred twenty-three million, three hundred two thousand, one hundred twenty".