212120100 has 144 divisors (see below), whose sum is σ = 686831040. Its totient is φ = 56160000.

The previous prime is 212120093. The next prime is 212120107. The reversal of 212120100 is 1021212.

It is an interprime number because it is at equal distance from previous prime (212120093) and next prime (212120107).

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

It is not an unprimeable number, because it can be changed into a prime (212120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677544 + ... + 677856.

It is an arithmetic number, because the mean of its divisors is an integer number (4769660).

Almost surely, 2^212120100 is an apocalyptic number.

212120100 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 212120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343415520).

212120100 is an abundant number, since it is smaller than the sum of its proper divisors (474710940).

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

212120100 is a wasteful number, since it uses less digits than its factorization.

212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

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

The square root of 212120100 is about 14564.3434455522. The cubic root of 212120100 is about 596.3857726486.

Adding to 212120100 its reverse (1021212), we get a palindrome (213141312).

The spelling of 212120100 in words is "two hundred twelve million, one hundred twenty thousand, one hundred".