214201340334100 has 72 divisors (see below), whose sum is σ = 531653683736448. Its totient is φ = 73380409814400.

The previous prime is 214201340334097. The next prime is 214201340334103. The reversal of 214201340334100 is 1433043102412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214201340334097) and next prime (214201340334103).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214201340334103) 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, 124246891 + ... + 125959090.

It is an arithmetic number, because the mean of its divisors is an integer number (7384078940784).

Almost surely, 2^{214201340334100} is an apocalyptic number.

214201340334100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214201340334100 is an abundant number, since it is smaller than the sum of its proper divisors (317452343402348).

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

214201340334100 is a wasteful number, since it uses less digits than its factorization.

214201340334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250207225 (or 250207218 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 214201340334100 its reverse (1433043102412), we get a palindrome (215634383436512).

The spelling of 214201340334100 in words is "two hundred fourteen trillion, two hundred one billion, three hundred forty million, three hundred thirty-four thousand, one hundred".