210100211112200 has 48 divisors (see below), whose sum is σ = 488531663730180. Its totient is φ = 84031710613760.

The previous prime is 210100211112167. The next prime is 210100211112251. The reversal of 210100211112200 is 2211112001012.

It can be written as a sum of positive squares in 6 ways, for example, as 10703274955396 + 199396936156804 = 3271586^2 + 14120798^2 .

It is a super-3 number, since 3×210100211112200³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50324027 + ... + 54338826.

Almost surely, 2^{210100211112200} is an apocalyptic number.

210100211112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100211112200 is an abundant number, since it is smaller than the sum of its proper divisors (278431452617980).

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

210100211112200 is a wasteful number, since it uses less digits than its factorization.

210100211112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104672906 (or 104672897 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210100211112200 its reverse (2211112001012), we get a palindrome (212311323113212).

The spelling of 210100211112200 in words is "two hundred ten trillion, one hundred billion, two hundred eleven million, one hundred twelve thousand, two hundred".