100212000 has 192 divisors, whose sum is σ = 375508224. Its totient is φ = 22886400.

The previous prime is 100211981. The next prime is 100212043. The reversal of 100212000 is 212001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 100212000.

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 31 ways as a sum of consecutive naturals, for example, 83404 + ... + 84596.

It is an arithmetic number, because the mean of its divisors is an integer number (1955772).

Almost surely, 2^100212000 is an apocalyptic number.

100212000 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 100212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187754112).

100212000 is an abundant number, since it is smaller than the sum of its proper divisors (275296224).

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

100212000 is a wasteful number, since it uses less digits than its factorization.

100212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100212000 is about 10010.5943879472. The cubic root of 100212000 is about 464.4866574542.

Adding to 100212000 its reverse (212001), we get a palindrome (100424001).

Subtracting from 100212000 its reverse (212001), we obtain a palindrome (99999999).

It can be divided in two parts, 10021 and 2000, that added together give a palindrome (12021).

The spelling of 100212000 in words is "one hundred million, two hundred twelve thousand".