214055023100200 has 48 divisors (see below), whose sum is σ = 511128683555580. Its totient is φ = 83307900879360.

The previous prime is 214055023100197. The next prime is 214055023100203. The reversal of 214055023100200 is 2001320550412.

It is an interprime number because it is at equal distance from previous prime (214055023100197) and next prime (214055023100203).

It can be written as a sum of positive squares in 6 ways, for example, as 50146254285604 + 163908768814596 = 7081402^2 + 12802686^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (214055023100203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14463169837 + ... + 14463184636.

Almost surely, 2^{214055023100200} is an apocalyptic number.

214055023100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214055023100200 is an abundant number, since it is smaller than the sum of its proper divisors (297073660455380).

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

214055023100200 is a wasteful number, since it uses less digits than its factorization.

214055023100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28926354526 (or 28926354517 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 214055023100200 its reverse (2001320550412), we get a palindrome (216056343650612).

The spelling of 214055023100200 in words is "two hundred fourteen trillion, fifty-five billion, twenty-three million, one hundred thousand, two hundred".