100212168 has 128 divisors (see below), whose sum is σ = 301593600. Its totient is φ = 27143424.

The previous prime is 100212163. The next prime is 100212223. The reversal of 100212168 is 861212001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100212163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326271 + ... + 326577.

It is an arithmetic number, because the mean of its divisors is an integer number (2356200).

Almost surely, 2^100212168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

100212168 is an abundant number, since it is smaller than the sum of its proper divisors (201381432).

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

100212168 is a wasteful number, since it uses less digits than its factorization.

100212168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 100212168 is about 10010.6027790538. The cubic root of 100212168 is about 464.4869170163.

Adding to 100212168 its reverse (861212001), we get a palindrome (961424169).

The spelling of 100212168 in words is "one hundred million, two hundred twelve thousand, one hundred sixty-eight".