212414242342100 has 36 divisors (see below), whose sum is σ = 465167703207900. Its totient is φ = 84186195125760.

The previous prime is 212414242342037. The next prime is 212414242342187. The reversal of 212414242342100 is 1243242414212.

It can be written as a sum of positive squares in 6 ways, for example, as 1203711791044 + 211210530551056 = 1097138^2 + 14533084^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9743761685 + ... + 9743783484.

Almost surely, 2^{212414242342100} is an apocalyptic number.

212414242342100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414242342100 is an abundant number, since it is smaller than the sum of its proper divisors (252753460865800).

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

212414242342100 is a wasteful number, since it uses less digits than its factorization.

212414242342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19487545292 (or 19487545285 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 212414242342100 its reverse (1243242414212), we get a palindrome (213657484756312).

The spelling of 212414242342100 in words is "two hundred twelve trillion, four hundred fourteen billion, two hundred forty-two million, three hundred forty-two thousand, one hundred".