211200220100 has 36 divisors (see below), whose sum is σ = 464582637204. Its totient is φ = 83322823680.

The previous prime is 211200220081. The next prime is 211200220111. The reversal of 211200220100 is 1022002112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3645261376 + 207554958724 = 60376^2 + 455582^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14458469 + ... + 14473068.

Almost surely, 2^211200220100 is an apocalyptic number.

211200220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200220100 is an abundant number, since it is smaller than the sum of its proper divisors (253382417104).

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

211200220100 is a wasteful number, since it uses less digits than its factorization.

211200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28931624 (or 28931617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211200220100 its reverse (1022002112), we get a palindrome (212222222212).

The spelling of 211200220100 in words is "two hundred eleven billion, two hundred million, two hundred twenty thousand, one hundred".