212021100 has 108 divisors (see below), whose sum is σ = 682636864. Its totient is φ = 55002240.

The previous prime is 212021099. The next prime is 212021113. The reversal of 212021100 is 1120212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30117 + ... + 36483.

Almost surely, 2^212021100 is an apocalyptic number.

212021100 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 212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341318432).

212021100 is an abundant number, since it is smaller than the sum of its proper divisors (470615764).

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

212021100 is a wasteful number, since it uses less digits than its factorization.

212021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212021100 is about 14560.9443375078. The cubic root of 212021100 is about 596.2929771377.

Adding to 212021100 its reverse (1120212), we get a palindrome (213141312).

It can be divided in two parts, 2120 and 21100, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 212021100 in words is "two hundred twelve million, twenty-one thousand, one hundred".