100222210120 has 128 divisors (see below), whose sum is σ = 241097472000. Its totient is φ = 37411799040.

The previous prime is 100222210087. The next prime is 100222210157. The reversal of 100222210120 is 21012222001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100222210120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47430184 + ... + 47432296.

It is an arithmetic number, because the mean of its divisors is an integer number (1883574000).

Almost surely, 2^100222210120 is an apocalyptic number.

100222210120 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 100222210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120548736000).

100222210120 is an abundant number, since it is smaller than the sum of its proper divisors (140875261880).

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

100222210120 is a wasteful number, since it uses less digits than its factorization.

100222210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100222210120 its reverse (21012222001), we get a palindrome (121234432121).

The spelling of 100222210120 in words is "one hundred billion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty".