211200122100 has 144 divisors (see below), whose sum is σ = 701710087680. Its totient is φ = 48505276800.

The previous prime is 211200122087. The next prime is 211200122101. The reversal of 211200122100 is 1221002112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200122101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1621512 + ... + 1746911.

It is an arithmetic number, because the mean of its divisors is an integer number (4872986720).

Almost surely, 2^211200122100 is an apocalyptic number.

211200122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200122100 is an abundant number, since it is smaller than the sum of its proper divisors (490509965580).

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

211200122100 is a wasteful number, since it uses less digits than its factorization.

211200122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368470 (or 3368463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211200122100 its reverse (1221002112), we get a palindrome (212421124212).

It can be divided in two parts, 21120012 and 2100, that added together give a palindrome (21122112).

The spelling of 211200122100 in words is "two hundred eleven billion, two hundred million, one hundred twenty-two thousand, one hundred".