212301233100 has 432 divisors, whose sum is σ = 735223192704. Its totient is φ = 50813568000.

The previous prime is 212301233087. The next prime is 212301233117. The reversal of 212301233100 is 1332103212.

212301233100 is a `hidden beast` number, since 2 + 1 + 230 + 123 + 310 + 0 = 666.

It is a super-2 number, since 2×212301233100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 405929439 + ... + 405929961.

Almost surely, 2^212301233100 is an apocalyptic number.

212301233100 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 212301233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367611596352).

212301233100 is an abundant number, since it is smaller than the sum of its proper divisors (522921959604).

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

212301233100 is a wasteful number, since it uses less digits than its factorization.

212301233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212301233100 its reverse (1332103212), we get a palindrome (213633336312).

The spelling of 212301233100 in words is "two hundred twelve billion, three hundred one million, two hundred thirty-three thousand, one hundred".