212301413303100 has 576 divisors, whose sum is σ = 712986685931520. Its totient is φ = 48234476160000.

The previous prime is 212301413303071. The next prime is 212301413303101. The reversal of 212301413303100 is 1303314103212.

It is a super-2 number, since 2×212301413303100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212301413303101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2167552729 + ... + 2167650671.

It is an arithmetic number, because the mean of its divisors is an integer number (1237824107520).

Almost surely, 2^{212301413303100} is an apocalyptic number.

212301413303100 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 212301413303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356493342965760).

212301413303100 is an abundant number, since it is smaller than the sum of its proper divisors (500685272628420).

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

212301413303100 is a wasteful number, since it uses less digits than its factorization.

212301413303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98362 (or 98355 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 212301413303100 its reverse (1303314103212), we get a palindrome (213604727406312).

The spelling of 212301413303100 in words is "two hundred twelve trillion, three hundred one billion, four hundred thirteen million, three hundred three thousand, one hundred".