212100100 has 36 divisors (see below), whose sum is σ = 463598800. Its totient is φ = 84224160.

The previous prime is 212100079. The next prime is 212100121. The reversal of 212100100 is 1001212.

It is an interprime number because it is at equal distance from previous prime (212100079) and next prime (212100121).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6271 + ... + 21529.

Almost surely, 2^212100100 is an apocalyptic number.

212100100 is a gapful number since it is divisible by the number (20) 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 212100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231799400).

212100100 is an abundant number, since it is smaller than the sum of its proper divisors (251498700).

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

212100100 is a wasteful number, since it uses less digits than its factorization.

212100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15412 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 212100100 is about 14563.6568210048. The cubic root of 212100100 is about 596.3670284084.

Adding to 212100100 its reverse (1001212), we get a palindrome (213101312).

The spelling of 212100100 in words is "two hundred twelve million, one hundred thousand, one hundred".