100222120 has 32 divisors (see below), whose sum is σ = 229327200. Its totient is φ = 39408448.

The previous prime is 100222117. The next prime is 100222139. The reversal of 100222120 is 21222001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100222097 and 100222106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18874 + ... + 23593.

It is an arithmetic number, because the mean of its divisors is an integer number (7166475).

Almost surely, 2^100222120 is an apocalyptic number.

100222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222120 is an abundant number, since it is smaller than the sum of its proper divisors (129105080).

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

100222120 is a wasteful number, since it uses less digits than its factorization.

100222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42537 (or 42533 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100222120 is about 10011.0998396780. The cubic root of 100222120 is about 464.5022924638.

Adding to 100222120 its reverse (21222001), we get a palindrome (121444121).

The spelling of 100222120 in words is "one hundred million, two hundred twenty-two thousand, one hundred twenty".