212332321212100 has 288 divisors, whose sum is σ = 493707388204800. Its totient is φ = 79085916518400.

The previous prime is 212332321212071. The next prime is 212332321212133. The reversal of 212332321212100 is 1212123233212.

It is a super-2 number, since 2×212332321212100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 38767994562 + ... + 38768000038.

It is an arithmetic number, because the mean of its divisors is an integer number (1714261764600).

Almost surely, 2^{212332321212100} is an apocalyptic number.

212332321212100 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 212332321212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246853694102400).

212332321212100 is an abundant number, since it is smaller than the sum of its proper divisors (281375066992700).

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

212332321212100 is a wasteful number, since it uses less digits than its factorization.

212332321212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8303 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 212332321212100 its reverse (1212123233212), we get a palindrome (213544444445312).

The spelling of 212332321212100 in words is "two hundred twelve trillion, three hundred thirty-two billion, three hundred twenty-one million, two hundred twelve thousand, one hundred".