211120112200100 has 18 divisors (see below), whose sum is σ = 458130643474434. Its totient is φ = 84448044880000.

The previous prime is 211120112200073. The next prime is 211120112200177. The reversal of 211120112200100 is 1002211021112.

It can be written as a sum of positive squares in 3 ways, for example, as 1313925742756 + 209806186457344 = 1146266^2 + 14484688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1055600560901 + ... + 1055600561100.

Almost surely, 2^{211120112200100} is an apocalyptic number.

211120112200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120112200100 is an abundant number, since it is smaller than the sum of its proper divisors (247010531274334).

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

211120112200100 is a wasteful number, since it uses less digits than its factorization.

211120112200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111201122015 (or 2111201122008 counting only the distinct ones).

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

Adding to 211120112200100 its reverse (1002211021112), we get a palindrome (212122323221212).

The spelling of 211120112200100 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twelve million, two hundred thousand, one hundred".