212012100 has 288 divisors, whose sum is σ = 749952000. Its totient is φ = 51148800.

The previous prime is 212012077. The next prime is 212012123. The reversal of 212012100 is 1210212.

It is an interprime number because it is at equal distance from previous prime (212012077) and next prime (212012123).

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 95 ways as a sum of consecutive naturals, for example, 1422826 + ... + 1422974.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 2^212012100 is an apocalyptic number.

212012100 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 212012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

212012100 is an abundant number, since it is smaller than the sum of its proper divisors (537939900).

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

212012100 is a wasteful number, since it uses less digits than its factorization.

212012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

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

The square root of 212012100 is about 14560.6352883382. The cubic root of 212012100 is about 596.2845397499.

Adding to 212012100 its reverse (1210212), we get a palindrome (213222312).

The spelling of 212012100 in words is "two hundred twelve million, twelve thousand, one hundred".