212232232312100 has 576 divisors, whose sum is σ = 619926627156480. Its totient is φ = 60906641817600.

The previous prime is 212232232312049. The next prime is 212232232312117. The reversal of 212232232312100 is 1213232232212.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 212232232312100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93370976564 + ... + 93370978836.

It is an arithmetic number, because the mean of its divisors is an integer number (1076261505480).

Almost surely, 2^{212232232312100} is an apocalyptic number.

212232232312100 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 212232232312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309963313578240).

212232232312100 is an abundant number, since it is smaller than the sum of its proper divisors (407694394844380).

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

212232232312100 is a wasteful number, since it uses less digits than its factorization.

212232232312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 212232232312100 its reverse (1213232232212), we get a palindrome (213445464544312).

The spelling of 212232232312100 in words is "two hundred twelve trillion, two hundred thirty-two billion, two hundred thirty-two million, three hundred twelve thousand, one hundred".