212102400213 has 24 divisors (see below), whose sum is σ = 334341723456. Its totient is φ = 128500848000.

The previous prime is 212102400157. The next prime is 212102400217. The reversal of 212102400213 is 312004201212.

It is a happy number.

212102400213 is a `hidden beast` number, since 2 + 1 + 210 + 240 + 0 + 213 = 666.

It is not a de Polignac number, because 212102400213 - 2²⁸ = 211833964757 is a prime.

It is a super-4 number, since 4×212102400213⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102400217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105145 + ... + 659742.

It is an arithmetic number, because the mean of its divisors is an integer number (13930905144).

Almost surely, 2^212102400213 is an apocalyptic number.

It is an amenable number.

212102400213 is a deficient number, since it is larger than the sum of its proper divisors (122239323243).

212102400213 is a wasteful number, since it uses less digits than its factorization.

212102400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767705 (or 767702 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212102400213 its reverse (312004201212), we get a palindrome (524106601425).

The spelling of 212102400213 in words is "two hundred twelve billion, one hundred two million, four hundred thousand, two hundred thirteen".