214014102120200 has 48 divisors (see below), whose sum is σ = 526852363168980. Its totient is φ = 80570014914560.

The previous prime is 214014102120197. The next prime is 214014102120209. The reversal of 214014102120200 is 2021201410412.

It can be written as a sum of positive squares in 6 ways, for example, as 64504253354116 + 149509848766084 = 8031454^2 + 12227422^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (214014102120209) 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 11 ways as a sum of consecutive naturals, for example, 31472658677 + ... + 31472665476.

Almost surely, 2^{214014102120200} is an apocalyptic number.

214014102120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214014102120200 is an abundant number, since it is smaller than the sum of its proper divisors (312838261048780).

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

214014102120200 is a wasteful number, since it uses less digits than its factorization.

214014102120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62945324186 (or 62945324177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 214014102120200 its reverse (2021201410412), we get a palindrome (216035303530612).

The spelling of 214014102120200 in words is "two hundred fourteen trillion, fourteen billion, one hundred two million, one hundred twenty thousand, two hundred".