213240122104200 has 96 divisors (see below), whose sum is σ = 662816616158400. Its totient is φ = 56711582012160.

The previous prime is 213240122104199. The next prime is 213240122104201. The reversal of 213240122104200 is 2401221042312.

213240122104200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213240122104199) and next prime (213240122104201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213240122104201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476183980 + ... + 476631579.

It is an arithmetic number, because the mean of its divisors is an integer number (6904339751650).

Almost surely, 2^{213240122104200} is an apocalyptic number.

213240122104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213240122104200 is an abundant number, since it is smaller than the sum of its proper divisors (449576494054200).

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

213240122104200 is a wasteful number, since it uses less digits than its factorization.

213240122104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952815951 (or 952815942 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213240122104200 its reverse (2401221042312), we get a palindrome (215641343146512).

The spelling of 213240122104200 in words is "two hundred thirteen trillion, two hundred forty billion, one hundred twenty-two million, one hundred four thousand, two hundred".