211200113102100 has 72 divisors (see below), whose sum is σ = 621089906431008. Its totient is φ = 55396750972800.

The previous prime is 211200113102057. The next prime is 211200113102117. The reversal of 211200113102100 is 1201311002112.

211200113102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211200113102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5770476594 + ... + 5770513193.

Almost surely, 2^{211200113102100} is an apocalyptic number.

211200113102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200113102100 is an abundant number, since it is smaller than the sum of its proper divisors (409889793328908).

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

211200113102100 is a wasteful number, since it uses less digits than its factorization.

211200113102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11540989865 (or 11540989858 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211200113102100 its reverse (1201311002112), we get a palindrome (212401424104212).

The spelling of 211200113102100 in words is "two hundred eleven trillion, two hundred billion, one hundred thirteen million, one hundred two thousand, one hundred".