212333030233100 has 288 divisors, whose sum is σ = 554718321755136. Its totient is φ = 68971202150400.

The previous prime is 212333030233097. The next prime is 212333030233189. The reversal of 212333030233100 is 1332030333212.

It is a happy number.

It is a super-2 number, since 2×212333030233100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212333030233100.

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, 15574923884 + ... + 15574937516.

It is an arithmetic number, because the mean of its divisors is an integer number (1926105283872).

Almost surely, 2^{212333030233100} is an apocalyptic number.

212333030233100 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 212333030233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277359160877568).

212333030233100 is an abundant number, since it is smaller than the sum of its proper divisors (342385291522036).

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

212333030233100 is a wasteful number, since it uses less digits than its factorization.

212333030233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22825 (or 22818 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 212333030233100 its reverse (1332030333212), we get a palindrome (213665060566312).

The spelling of 212333030233100 in words is "two hundred twelve trillion, three hundred thirty-three billion, thirty million, two hundred thirty-three thousand, one hundred".