100212112220211 has 12 divisors (see below), whose sum is σ = 149742236651280. Its totient is φ = 64504348095600.

The previous prime is 100212112220191. The next prime is 100212112220243. The reversal of 100212112220211 is 112022211212001.

100212112220211 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 211 + 2 + 220 + 211 = 666.

It is not a de Polignac number, because 100212112220211 - 2⁵ = 100212112220179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212112230211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191977226215 + ... + 191977226736.

It is an arithmetic number, because the mean of its divisors is an integer number (12478519720940).

Almost surely, 2^{100212112220211} is an apocalyptic number.

100212112220211 is a deficient number, since it is larger than the sum of its proper divisors (49530124431069).

100212112220211 is a wasteful number, since it uses less digits than its factorization.

100212112220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383954452986 (or 383954452983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100212112220211 its reverse (112022211212001), we get a palindrome (212234323432212).

The spelling of 100212112220211 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty thousand, two hundred eleven".