100212121002211 has 16 divisors (see below), whose sum is σ = 100826718105600. Its totient is φ = 99598144339008.

The previous prime is 100212121002131. The next prime is 100212121002263. The reversal of 100212121002211 is 112200121212001.

It is a cyclic number.

It is not a de Polignac number, because 100212121002211 - 2¹¹ = 100212121000163 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212121042211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4939710910 + ... + 4939731196.

It is an arithmetic number, because the mean of its divisors is an integer number (6301669881600).

Almost surely, 2^{100212121002211} is an apocalyptic number.

100212121002211 is a deficient number, since it is larger than the sum of its proper divisors (614597103389).

100212121002211 is a wasteful number, since it uses less digits than its factorization.

100212121002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34098.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212121002211 its reverse (112200121212001), we get a palindrome (212412242214212).

The spelling of 100212121002211 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-one million, two thousand, two hundred eleven".