100200122212 has 48 divisors (see below), whose sum is σ = 192128494320. Its totient is φ = 45512499200.

The previous prime is 100200122189. The next prime is 100200122213. The reversal of 100200122212 is 212221002001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 50797947456 + 49402174756 = 225384^2 + 222266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100200122192 and 100200122201.

It is not an unprimeable number, because it can be changed into a prime (100200122213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8357262 + ... + 8369242.

It is an arithmetic number, because the mean of its divisors is an integer number (4002676965).

Almost surely, 2^100200122212 is an apocalyptic number.

It is an amenable number.

100200122212 is a deficient number, since it is larger than the sum of its proper divisors (91928372108).

100200122212 is a wasteful number, since it uses less digits than its factorization.

100200122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16272 (or 16270 counting only the distinct ones).

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

Adding to 100200122212 its reverse (212221002001), we get a palindrome (312421124213).

The spelling of 100200122212 in words is "one hundred billion, two hundred million, one hundred twenty-two thousand, two hundred twelve".