212431210142100 has 144 divisors (see below), whose sum is σ = 616978987692480. Its totient is φ = 56432263449600.

The previous prime is 212431210142071. The next prime is 212431210142113. The reversal of 212431210142100 is 1241012134212.

212431210142100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869097504 + ... + 869341896.

It is an arithmetic number, because the mean of its divisors is an integer number (4284576303420).

Almost surely, 2^{212431210142100} is an apocalyptic number.

212431210142100 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 212431210142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308489493846240).

212431210142100 is an abundant number, since it is smaller than the sum of its proper divisors (404547777550380).

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

212431210142100 is a wasteful number, since it uses less digits than its factorization.

212431210142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255450 (or 255443 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 212431210142100 its reverse (1241012134212), we get a palindrome (213672222276312).

The spelling of 212431210142100 in words is "two hundred twelve trillion, four hundred thirty-one billion, two hundred ten million, one hundred forty-two thousand, one hundred".