100200222120 has 32 divisors (see below), whose sum is σ = 300600666720. Its totient is φ = 26720059200.

The previous prime is 100200222103. The next prime is 100200222167. The reversal of 100200222120 is 21222002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100200222096 and 100200222105.

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 7 ways as a sum of consecutive naturals, for example, 417500806 + ... + 417501045.

It is an arithmetic number, because the mean of its divisors is an integer number (9393770835).

Almost surely, 2^100200222120 is an apocalyptic number.

100200222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200222120 is an abundant number, since it is smaller than the sum of its proper divisors (200400444600).

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

100200222120 is a wasteful number, since it uses less digits than its factorization.

100200222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835001865 (or 835001861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100200222120 its reverse (21222002001), we get a palindrome (121422224121).

The spelling of 100200222120 in words is "one hundred billion, two hundred million, two hundred twenty-two thousand, one hundred twenty".