211120100012200 has 24 divisors (see below), whose sum is σ = 490854232528830. Its totient is φ = 84448040004800.

The previous prime is 211120100012191. The next prime is 211120100012207. The reversal of 211120100012200 is 2210001021112.

It can be written as a sum of positive squares in 3 ways, for example, as 167106243133764 + 44013856878436 = 12926958^2 + 6634294^2 .

It is a super-2 number, since 2×211120100012200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211120100012207) 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 5 ways as a sum of consecutive naturals, for example, 527800249831 + ... + 527800250230.

Almost surely, 2^{211120100012200} is an apocalyptic number.

211120100012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120100012200 is an abundant number, since it is smaller than the sum of its proper divisors (279734132516630).

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

211120100012200 is a wasteful number, since it uses less digits than its factorization.

211120100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055600500077 (or 1055600500068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211120100012200 its reverse (2210001021112), we get a palindrome (213330101033312).

The spelling of 211120100012200 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred million, twelve thousand, two hundred".